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Maths M.C.Q (1 Marks)

P-1 Probability · Maharashtra Board STD 10 (MSBSHSE - English Medium). 20 questions.

Questions

M.C.Q (1 Marks)

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20 questions · 19 auto-graded MCQ + 1 self-marked written.

MCQ 11 Mark
Choose the correct alternative answer for each of the following question.
If n(A) = 2, P(A) = 1/5, then n(S) = ?
  • ✓
    $10$
  • B
    $\frac{5}{2}$
  • C
    $\frac{2}{5}$
  • D
    $\frac{1}{3}$
Answer
Correct option: A.
$10$
Probability, $P(A)=\frac{n(A)}{n(s)}$
$\Rightarrow \frac{1}{5}=\frac{2}{ n ( s )} $
$\therefore n ( S )=10$
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MCQ 21 Mark
Choose the correct alternative answer for each of the following question.
There are 40 cards in a bag. Each bears a number from 1 to 40. One card is drawn at random. What is the probability that the card bears a number which is a multiple of 5?
  • ✓
    $\frac{1}{5}$
  • B
    $\frac{3}{5}$
  • C
    $\frac{4}{5}$
  • D
    $\frac{1}{3}$
Answer
Correct option: A.
$\frac{1}{5}$
Favourable outcomes=8
Total number of outcomes=40
$\therefore$ Probability that the the card bears a number which is a multiple of 5=$\frac{8}{40} = \frac{1}{5}$
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MCQ 31 Mark
Choose the correct alternative answer for each of the following question. What is the probability of the event that a number chosen from $1$ to $100$ is a prime number?
  • A
    $\frac{1}{5}$
  • ✓
    $\frac{6}{25}$
  • C
    $\frac{1}{4}$
  • D
    $\frac{13}{50}$
Answer
Correct option: B.
$\frac{6}{25}$
Favourable outcomes$=24$
Total number of outcomes$=100$
$\therefore$ Probability that the number a number chosen from $1$ to $100$ is a prime number $=\frac{24}{100}=\frac{6}{25}$
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MCQ 41 Mark
Choose the correct alternative answer for each of the following question.
A die is rolled. What is the probability that the number appearing on upper face is less than 3?
 
  • A
    $\frac{1}{6}$
  • ✓
    $\frac{1}{3}$
  • C
    $\frac{1}{2}$
  • D
    $0$
Answer
Correct option: B.
$\frac{1}{3}$
Favourable outcomes$ =(1,2)=2$
Total number of outcomes=6
$\therefore$ Probability that the number appearing on upper face is less than $3=\frac{2}{6}=\frac{1}{3}$
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Question 51 Mark
Choose the correct alternative answer for each of the following question.
Which number cannot represent a probability?
A. 2/3
B. 1.5
C. 15%
D. 0.7

Answer
As probability of any event lies between 0 and 1 , the answer is option B = 1.5 ,which is greater than 1.
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MCQ 61 Mark
Three coins are tossed. Find the probability that tail does not appear.
  • A
    $\frac{3}{8}$
  • ✓
    $\frac{1}{8}$
  • C
    $\frac{1}{4}$
  • D
    $\frac{7}{8}$
Answer
Correct option: B.
$\frac{1}{8}$
$\frac{1}{8}$
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MCQ 71 Mark
A card is drawn from a well shuffled pack of 52 cards. The probability that the card drawn is a black face card is
  • A
    $\frac{2}{13}$
  • B
    $\frac{3}{13}$
  • ✓
    $\frac{3}{26}$
  • D
    $\frac{1}{13}$
Answer
Correct option: C.
$\frac{3}{26}$
$\frac{3}{26}$
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MCQ 81 Mark
The probability of throwing a number smaller than 2 in a fair die is
  • A
    $\frac{2}{3}$
  • ✓
    $\frac{1}{6}$
  • C
    $\frac{2}{3}$
  • D
    $\frac{5}{6}$
Answer
Correct option: B.
$\frac{1}{6}$
$\frac{1}{6}$
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MCQ 91 Mark
The value of probability always lie between
  • ✓
    0 to 1
  • B
    unlimited
  • C
    1 to $\infty$
  • D
    $-\infty$ to 1
Answer
Correct option: A.
0 to 1
0 to 1
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MCQ 101 Mark
Which of the following cannot be the probability of an event?
  • A
    $\frac{3}{5}$
  • ✓
    $\frac{7}{2}$
  • C
    $\frac{3}{4}$
  • D
    $\frac{4}{5}$
Answer
Correct option: B.
$\frac{7}{2}$
$\frac{7}{2}$
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MCQ 111 Mark
If n(A) = 2, P(A) = $\frac{1}{5}$, then n(S) = ?
Answer
Correct option: A.
(A) 10
Probability, $P(A)=\frac{n(A)}{n(s)}$
$\begin{array}{l}
\Rightarrow \frac{1}{5}=\frac{2}{n(s)} \\
\therefore n ( S )=10
\end{array}$
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MCQ 121 Mark
There are 40 cards in a bag. Each bears a number from 1 to 40. One card is drawn at random. What is the probability that the card bears a number which is a multiple of 5?
Answer
Correct option: A.
(A) $\frac{1}{5}$
Favourable outcomes=8
Total number of outcomes $=40$
$\therefore$ Probability that the the card bears a number which is a multiple of $5=\frac{8}{40}=\frac{1}{5}$
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MCQ 131 Mark
What is the probability of the event that a number chosen from 1 to 100 is a prime number?
Answer
Correct option: C.
(C) $\frac{1}{4}$
Favourable outcomes $=24$
Total number of outcomes $=100$
$\therefore$ Probability that the number a number chosen from 1 tol 100 is a prime number $=\frac{24}{100}=\frac{6}{25}$
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MCQ 141 Mark
A die is rolled. What is the probability that the number appearing on upper face is less than 3?
Answer
Correct option: B.
(B) $\frac{1}{3}$
Favourable outcomes $=(1,2)=2$
Total number of outcomes $=6$
$\therefore$ Probability that the number appearing on upper face is less than $3=\frac{2}{6}=\frac{1}{3}$
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MCQ 151 Mark
Which number cannot represent a probability?
Answer
Correct option: B.
(B) 1.5
As probability of any event lies between 0 and 1 , the answer is option B = 1.5 ,which is greater than 1.
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MCQ 161 Mark
Which of the following cannot be the probability of an event?
  • A
    $\frac{3}{5}$
  • ✓
    $\frac{7}{2}$
  • C
    $\frac{3}{4}$
  • D
    $\frac{4}{5}$
Answer
Correct option: B.
$\frac{7}{2}$
B
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MCQ 171 Mark
Three coins are tossed. Find the probability that tail does not appear.
  • A
    $\frac{3}{8}$
  • ✓
    $\frac{1}{8}$
  • C
    $\frac{1}{4}$
  • D
    $\frac{7}{8}$
Answer
Correct option: B.
$\frac{1}{8}$
B
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MCQ 181 Mark
The value of probability always lie between
  • ✓
    0 to 1
  • B
    unlimited
  • C
    1 to $\infty$
  • D
    $-\infty$ to 1
Answer
Correct option: A.
0 to 1
A
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MCQ 191 Mark
The probability of throwing a number smaller than 2 in a fair die is
  • A
    $\frac{2}{3}$
  • ✓
    $\frac{1}{6}$
  • C
    $\frac{2}{3}$
  • D
    $\frac{5}{6}$
Answer
Correct option: B.
$\frac{1}{6}$
B
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MCQ 201 Mark
A card is drawn from a well shuffled pack of 52 cards. The probability that the card drawn is a black face card is
  • A
    $\frac{2}{13}$
  • B
    $\frac{3}{13}$
  • ✓
    $\frac{3}{26}$
  • D
    $\frac{1}{13}$
Answer
Correct option: C.
$\frac{3}{26}$
C
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