Questions · Page 2 of 3

M.C.Q (1 Marks)

MCQ 511 Mark
In a group of 20 people, 5 cannot swim. If one person is selected at random, then the probability that he/she can swim, is
  • $\frac{3}{4}$
  • B
    $\frac{1}{3}$
  • C
    1
  • D
    $\frac{1}{4}$
Answer
Correct option: A.
$\frac{3}{4}$
a
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MCQ 521 Mark
The probability of happening of an event is denoted by p and the probability of non-happening of the event is denoted by q. Relation between p and q is
  • p + q = 1
  • B
    p = 1,q = 1
  • C
    p = q - 1
  • D
    p + q + 1 = 0
Answer
Correct option: A.
p + q = 1
a
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MCQ 531 Mark
Which of the following numbers cannot be the probability of happening of an event?
  • A
    $0$
  • $\frac{7}{0.01}$
  • C
    $0.07$
  • D
    $\frac{0.07}{3}$
Answer
Correct option: B.
$\frac{7}{0.01}$
b
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MCQ 541 Mark
Two coins are tossed together. The probability of getting at least one tail is
  • A
    $\frac{1}{4}$
  • B
    $\frac{1}{2}$
  • $\frac{3}{4}$
  • D
    1
Answer
Correct option: C.
$\frac{3}{4}$
c
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MCQ 551 Mark
If a two digit number is chosen at random, then the probability that the number chosen is a multiple of 3, is
  • A
    $\frac{3}{10}$
  • B
    $\frac{29}{100}$
  • $\frac{1}{3}$
  • D
    $\frac{7}{25}$
Answer
Correct option: C.
$\frac{1}{3}$
c
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MCQ 561 Mark
What is the probability that a leap year has 53 Mondays?
  • $\frac{2}{7}$
  • B
    $\frac{4}{7}$
  • C
    $\frac{5}{7}$
  • D
    $\frac{6}{7}$
Answer
Correct option: A.
$\frac{2}{7}$
a
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MCQ 571 Mark
Two dice are rolled simultaneously. The probability that they show different faces is
  • A
    $\frac{2}{3}$
  • B
    $\frac{1}{6}$
  • C
    $\frac{1}{3}$
  • $\frac{5}{6}$
Answer
Correct option: D.
$\frac{5}{6}$
d
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MCQ 581 Mark
Two numbers 'a' and 'b' are selected successively without replacement in that order from the integers 1 to 10. The probability that a/b is an integer, is
  • A
    $\frac{17}{45}$
  • B
    $\frac{1}{5}$
  • $\frac{17}{90}$
  • D
    $\frac{8}{45}$
Answer
Correct option: C.
$\frac{17}{90}$
c
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MCQ 591 Mark
What is the probability that a non-leap year has 53 Sundays?
  • A
    $\frac{6}{7}$
  • $\frac{1}{7}$
  • C
    $\frac{5}{7}$
  • D
    none of these
Answer
Correct option: B.
$\frac{1}{7}$
b
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MCQ 601 Mark
In a single throw of a pair of dice, the probability of getting the sum a perfect square is
  • A
    $\frac{1}{18}$
  • $\frac{7}{36}$
  • C
    $\frac{1}{6}$
  • D
    $\frac{2}{9}$
Answer
Correct option: B.
$\frac{7}{36}$
b
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MCQ 611 Mark
The probability that a non-leap year has 53 Sundays, is
  • A
    $\frac{2}{7}$
  • B
    $\frac{5}{7}$
  • C
    $\frac{6}{7}$
  • $\frac{1}{7}$
Answer
Correct option: D.
$\frac{1}{7}$
d
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MCQ 621 Mark
If a number x is chosen from the numbers 1, 2, 3, and a number y is selected from the numbers 1,4, 9. Then, P(xy < 9)
  • A
    $\frac{7}{9}$
  • $\frac{5}{9}$
  • C
    $\frac{2}{3}$
  • D
    $\frac{1}{9}$
Answer
Correct option: B.
$\frac{5}{9}$
b
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MCQ 631 Mark
A number x is chosen at random from the numbers -3, -2, -1, 0, 1, 2, 3 the probability that |x| < 2 is
  • A
    $\frac{5}{7}$
  • B
    $\frac{2}{7}$
  • $\frac{3}{7}$
  • D
    $\frac{1}{7}$
Answer
Correct option: C.
$\frac{3}{7}$
c
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MCQ 641 Mark
A bag contains cards numbered from 1 to 25. A card is drawn at random from the bag. The probability that the number on this card is divisible by both 2 and 3 is
  • A
    $\frac{1}{5}$
  • B
    $\frac{3}{25}$
  • $\frac{4}{25}$
  • D
    $\frac{2}{25}$
Answer
Correct option: C.
$\frac{4}{25}$
c
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MCQ 651 Mark
In a family of 3 children, the probability of having at least one boy is
  • $\frac{7}{8}$
  • B
    $\frac{1}{8}$
  • C
    $\frac{5}{8}$
  • D
    $\frac{3}{4}$
Answer
Correct option: A.
$\frac{7}{8}$
a
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MCQ 661 Mark
Two dice are thrown together. The probability of getting the same number on both dice is
  • A
    $\frac{1}{2}$
  • B
    $\frac{1}{3}$
  • $\frac{1}{6}$
  • D
    $\frac{1}{12}$
Answer
Correct option: C.
$\frac{1}{6}$
c
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MCQ 671 Mark
A card is drawn at random from a pack of 52 cards. The probability that the drawn card is not an ace is
  • A
    $\frac{1}{13}$
  • B
    $\frac{9}{13}$
  • C
    $\frac{4}{13}$
  • $\frac{12}{13}$
Answer
Correct option: D.
$\frac{12}{13}$
d
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MCQ 681 Mark
A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is
  • A
    $\frac{2}{3}$
  • B
    $\frac{1}{6}$
  • $\frac{1}{3}$
  • D
    $\frac{11}{30}$
Answer
Correct option: C.
$\frac{1}{3}$
c
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MCQ 691 Mark
If two different dice are rolled together, the probability of getting an even number on both dice, is
  • A
    $\frac{1}{36}$
  • B
    $\frac{1}{2}$
  • C
    $\frac{1}{6}$
  • $\frac{1}{4}$
Answer
Correct option: D.
$\frac{1}{4}$
d
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MCQ 701 Mark
Two different coins are tossed simultaneously. The probability of getting at least one head is
  • A
    $\frac{1}{4}$
  • B
    $\frac{1}{8}$
  • $\frac{3}{4}$
  • D
    $\frac{7}{8}$
Answer
Correct option: C.
$\frac{3}{4}$
c
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MCQ 711 Mark
The probability that a number selected at random from the numbers 1, 2, 3,...,15 is a multiple of 4, is
  • A
    $\frac{4}{15}$
  • B
    $\frac{2}{15}$
  • $\frac{1}{5}$
  • D
    $\frac{1}{3}$
Answer
Correct option: C.
$\frac{1}{5}$
c
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MCQ 721 Mark
A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime number less than 23, is
  • A
    $\frac{7}{90}$
  • B
    $\frac{10}{90}$
  • $\frac{4}{45}$
  • D
    $\frac{9}{89}$
Answer
Correct option: C.
$\frac{4}{45}$
c
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MCQ 731 Mark
The probability of getting an even number, when a die is thrown once is
  • $\frac{1}{2}$
  • B
    $\frac{1}{3}$
  • C
    $\frac{1}{6}$
  • D
    $\frac{5}{6}$
Answer
Correct option: A.
$\frac{1}{2}$
a
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MCQ 741 Mark
From the letters of the word "MOBILE", a letter is selected. The probability that the letter is a vowel, is
  • A
    $\frac{2}{3}$
  • B
    $\frac{1}{3}$
  • $\frac{1}{2}$
  • D
    $\frac{1}{6}$
Answer
Correct option: C.
$\frac{1}{2}$
c
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MCQ 751 Mark
A die is thrown once. The probability of getting a prime number is
  • A
    $\frac{2}{3}$
  • B
    $\frac{1}{3}$
  • C
    $\frac{1}{2}$
  • $\frac{1}{6}$
Answer
Correct option: D.
$\frac{1}{6}$
d
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MCQ 761 Mark
A month is selected at random in a year. The probability that it is March or October, is
  • A
    $\frac{1}{12}$
  • $\frac{1}{6}$
  • C
    $\frac{3}{4}$
  • D
    none of these
Answer
Correct option: B.
$\frac{1}{6}$
b
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MCQ 771 Mark
A number is selected from first 50 natural numbers. What is the probability that it is a multiple of 3 or 5?
  • A
    $\frac{13}{25}$
  • B
    $\frac{21}{50}$
  • C
    $\frac{12}{25}$
  • $\frac{23}{50}$
Answer
Correct option: D.
$\frac{23}{50}$
d
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MCQ 781 Mark
Aarushi sold 100 lottery tickets in which 5 tickets carry prizes. If Priya purchased a ticket, what is the probability of Priya winning a prize?
  • A
    $\frac{19}{20}$
  • B
    $\frac{1}{25}$
  • $\frac{1}{20}$
  • D
    $\frac{17}{20}$
Answer
Correct option: C.
$\frac{1}{20}$
c
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MCQ 811 Mark
Which of the following cannot be the probability of occurrence of an event?
  • A
    0.2
  • B
    0.4
  • C
    0.8
  • 1.6
Answer
Correct option: D.
1.6
d
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MCQ 831 Mark
Which of the following cannot be the probability of an event?
  • A
    $\frac{2}{3}$
  • -1.5
  • C
    $15 \%$
  • D
    0.7
Answer
Correct option: B.
-1.5
b
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MCQ 841 Mark
A number is selected from numbers 1 to 25. The probability that it is prime is
  • A
    $\frac{2}{3}$
  • B
    $\frac{1}{6}$
  • $\frac{9}{25}$
  • D
    $\frac{5}{6}$
Answer
Correct option: C.
$\frac{9}{25}$
c
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MCQ 851 Mark
A card is accidently dropped from a pack of 52 playing cards. The probability that it is an ace is
  • A
    $\frac{1}{4}$
  • $\frac{1}{13}$
  • C
    $\frac{1}{52}$
  • D
    $\frac{1}{13}$
Answer
Correct option: B.
$\frac{1}{13}$
b
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MCQ 861 Mark
The probability of throwing a number greater than 2 with a fair dice is
  • A
    $\frac{3}{5}$
  • B
    $\frac{2}{5}$
  • $\frac{2}{3}$
  • D
    $\frac{1}{3}$
Answer
Correct option: C.
$\frac{2}{3}$
c
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MCQ 871 Mark
A number is selected at random from the numbers 3, 5, 5, 7, 7, 7, 9, 9, 9, 9. The probability that the selected number is their average is
  • A
    $\frac{1}{10}$
  • $\frac{3}{10}$
  • C
    $\frac{7}{10}$
  • D
    $\frac{9}{10}$
Answer
Correct option: B.
$\frac{3}{10}$
b
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MCQ 881 Mark
A bag contains three green marbles, four blue marbles, and two orange marbles. If a marble is picked at random, then the probability that it is not an orange marble is
  • A
    $\frac{1}{4}$
  • B
    $\frac{1}{3}$
  • C
    $\frac{4}{9}$
  • $\frac{7}{9}$
Answer
Correct option: D.
$\frac{7}{9}$
d
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MCQ 891 Mark
The probability of guessing the correct answer to a certain test questions is $\frac{x}{12}$. If the probability of not guessing the correct answer to this question is $\frac{2}{3}$, then x =
  • A
    2
  • B
    3
  • 4
  • D
    6
Answer
Correct option: C.
4
c
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MCQ 901 Mark
In a single throw of a die, the probability of getting a multiple of 3 is
  • A
    $\frac{1}{2}$
  • $\frac{1}{3}$
  • C
    $\frac{1}{6}$
  • D
    $\frac{2}{3}$
Answer
Correct option: B.
$\frac{1}{3}$
b
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MCQ 911 Mark
If three coins are tossed simultaneously, then the probability of getting at least two heads, is
  • A
    $\frac{1}{4}$
  • B
    $\frac{3}{8}$
  • $\frac{1}{2}$
  • D
    $\frac{1}{4}$
Answer
Correct option: C.
$\frac{1}{2}$
c
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MCQ 921 Mark
In Q. No. 1, the probability that the digit is a multiple of 3 is
  • $\frac{1}{3}$
  • B
    $\frac{2}{3}$
  • C
    $\frac{1}{9}$
  • D
    $\frac{2}{9}$
Answer
Correct option: A.
$\frac{1}{3}$
a
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MCQ 931 Mark
In Q. No. 1, the probability that the digit is even, is
  • $\frac{4}{9}$
  • B
    $\frac{5}{9}$
  • C
    $\frac{1}{9}$
  • D
    $\frac{2}{3}$
Answer
Correct option: A.
$\frac{4}{9}$
a
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MCQ 941 Mark
If a digit is chosen at random from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, then the probability that it is odd, is
  • A
    $\frac{4}{9}$
  • $\frac{5}{9}$
  • C
    $\frac{1}{9}$
  • D
    $\frac{2}{3}$
Answer
Correct option: B.
$\frac{5}{9}$
b
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MCQ 951 Mark
A number was chosen at random from first 300 three-digit natural numbers. The probability that the selected number has zero at units place is
  • A
    $\frac{1}{15}$
  • B
    $\frac{1}{25}$
  • $\frac{1}{10}$
  • D
    $\frac{1}{20}$
Answer
Correct option: C.
$\frac{1}{10}$
(c) First 300 three digit numbers are: 100, 101, ..., 399. Out of these one number can be chosen in 300 ways.
∴ Total number of elementary events = 300
A number having 0 at unit's place is divisible by 10. Such numbers are 100, 110, 120, ..., 390. These numbers form an AP with common difference 10. Let there number be n. Then, $390=100+(n-1) \times 10 \Rightarrow 290=10(n-1) \Rightarrow n=30$.
∴ Favourable number of elementary events = 30.
Hence, required probability $=\frac{30}{300}=\frac{1}{10}$.
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MCQ 961 Mark
From the letters of the word "MOBILE", if the letter is selected, what is the probability that it is a vowel?
  • A
    $\frac{1}{3}$
  • B
    $\frac{4}{7}$
  • C
    $\frac{3}{7}$
  • $\frac{1}{2}$
Answer
Correct option: D.
$\frac{1}{2}$
(d) There are 6 distincts letters in the word 'MOBILE' out of which one letter can be chosen in 6 ways. So, total number of elementary events is 6. Out of three vowels in the word 'MOBILE' one vowel can be selected in 3 ways.
Hence, probability that the selected letter is a vowel $=\frac{3}{6}=\frac{1}{2}$
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MCQ 971 Mark
Two dice are thrown together. The probability of getting the difference of numbers on their upper faces equal to 2, is
  • A
    $\frac{5}{9}$
  • B
    $\frac{4}{9}$
  • C
    $\frac{1}{3}$
  • $\frac{2}{9}$
Answer
Correct option: D.
$\frac{2}{9}$
(d) Total number of elementary events = 36
The difference of two numbers can be 2 in the following ways:
(1, 3), (3, 1), (2, 4), (4, 2), (3, 5), (5, 3), (4, 6), (6, 4)
Favourable number of elementary events = 8
Hence, required probability $=\frac{8}{36}=\frac{2}{9}$.
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MCQ 981 Mark
A girl calculates that the probability of her winning the first prize in a lottery is 0.06. If 8000 tickets are sold, then how many tickets has she bought?
  • A
    420
  • 480
  • C
    840
  • D
    48
Answer
Correct option: B.
480
(b) Suppose she bought n tickets. Total number of tickets is 8000.
∴ Probability of winning the first prize $=\frac{n}{8000}$
$\Rightarrow \quad 0.06=\frac{n}{8000} \Rightarrow n=480$
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MCQ 991 Mark
The probability of guessing the correct answer to a certain question is $\frac{a}{b}$. If the probability of not guessing the correct answer to this question is 2/3, then
  • A
    b=4a
  • b=3a
  • C
    b=2a
  • D
    b=a
Answer
Correct option: B.
b=3a
(b) We have,
Probability of not guessing the correct answer to the question = $\frac{2}{3}$
∴Probability of guessing the correct answer to the question $=1-\frac{2}{3}=\frac{1}{3}$
$\Rightarrow \quad \frac{a}{b}=\frac{1}{3} \Rightarrow b=3 a$
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MCQ 1001 Mark
The probability of getting a bad apple in a box of 400 apples is 0.035. The total number of bad apples is
  • A
    7
  • 14
  • C
    21
  • D
    28
Answer
Correct option: B.
14
(b) Let there be in bad apples in a box of 400 apples. Then, Probability of getting a bad apple $=\frac{n}{400} \Rightarrow 0.035=\frac{n}{400} \Rightarrow n=0.035 \times 400=14$
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M.C.Q (1 Marks) - Page 2 - Maths STD 10 Questions - Vidyadip