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MATHS M.C.Q (1 Marks)

PART - 2 CH - 14 Probability · Rajasthan Board (RBSE) STD 11 Science (Rajasthan - English Medium). 17 questions.

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M.C.Q (1 Marks)

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17 questions · auto-graded multiple-choice test.

MCQ 11 Mark
If in a family, there is at least one boy among three children, then the probability of two boys and one girl in the family is :
  • A
    $\frac{1}{2}$
  • ✓
    $\frac{1}{3}$
  • C
    $\frac{1}{4}$
  • D
    $\frac{3}{4}$
Answer
Correct option: B.
$\frac{1}{3}$
B
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MCQ 31 Mark
10 students are sitting randomly in a row. The probability that two special students are not sitting adjacently is :
  • A
    $\frac{1}{5}$
  • B
    $\frac{2}{5}$
  • C
    $\frac{3}{5}$
  • ✓
    $\frac{4}{5}$
Answer
Correct option: D.
$\frac{4}{5}$
D
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MCQ 41 Mark
The probability of getting same digit on all the dice when three dice are thrown simultaneously is :
  • ✓
    $\frac{1}{36}$
  • B
    $\frac{3}{22}$
  • C
    $\frac{1}{6}$
  • D
    $\frac{1}{18}$
Answer
Correct option: A.
$\frac{1}{36}$
A
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MCQ 51 Mark
The probability that the sum of the numbers obtained on throwing two dice simultaneously is a multiple of 4 is :
  • ✓
    $\frac{1}{4}$
  • B
    $\frac{1}{3}$
  • C
    $\frac{1}{9}$
  • D
    $\frac{5}{9}$
Answer
Correct option: A.
$\frac{1}{4}$
A
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MCQ 61 Mark
If for two events $A$ and $B , P ( AB )= P ( A ) P ( B ),$ then both events are :
  • A
    mutually exclusive
  • B
    dependent
  • ✓
    independent
  • D
    none of these
Answer
Correct option: C.
independent
C
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MCQ 71 Mark
For two independent events $A$ and $B , P ( A + B )$ is equal to :
  • A
    $P ( A )+ P ( B )- P ( AB )$
  • B
    $P ( A )+ P ( N )- P ( A ) \cdot P ( B )$
  • C
    $P ( A )+ P ( B )+ P ( AB )$
  • ✓
    $P ( A )+ P ( B )$
Answer
Correct option: D.
$P ( A )+ P ( B )$
D
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MCQ 81 Mark
A card is drawn from a pack of 52 cards. The probability of its being a king or a card of diamond is :
  • A
    $\frac{1}{26}$
  • ✓
    $\frac{4}{13}$
  • C
    $\frac{3}{26}$
  • D
    $\frac{3}{13}$
Answer
Correct option: B.
$\frac{4}{13}$
B
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MCQ 91 Mark
For any two events A and B, which of the following is true?
  • A
    $P ( A \cap B ) \geq P ( A )$
  • B
    $P ( A \cap$$B )= P ( A )$
  • ✓
    $P ( A \cap B ) \leq P ( A )$
  • D
    None of these.
Answer
Correct option: C.
$P ( A \cap B ) \leq P ( A )$
C
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MCQ 101 Mark
$A$ and $B$ are good tennis players of same level. If they play four games against each other, the probability of A exactly winning three games is:
  • A
    $\frac{1}{7}$
  • B
    $\frac{1}{2}$
  • ✓
    $\frac{1}{4}$
  • D
    $\frac{3}{4}$
Answer
Correct option: C.
$\frac{1}{4}$
C
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MCQ 111 Mark
The probability of 53 Sundays in a leap year is :
  • A
    $\frac{5}{7}$
  • B
    $\frac{1}{7}$
  • ✓
    $\frac{2}{7}$
  • D
    $\frac{6}{7}$
Answer
Correct option: C.
$\frac{2}{7}$
C
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MCQ 121 Mark
On choosing one card randomly from a pack of 52 cards, the probability of getting a card of space is :
  • ✓
    $\frac{1}{4}$
  • B
    $\frac{1}{2}$
  • C
    $\frac{3}{4}$
  • D
    $\frac{1}{13}$
Answer
Correct option: A.
$\frac{1}{4}$
A
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MCQ 131 Mark
There are three red and three blue balls in a bag. A ball is drawn from the bag. Without keeping the first ball back in the bag, a second ball is drawn from the bag. The probability of both balls being of different colours is :
  • A
    $\frac{3}{10}$
  • B
    $\frac{1}{4}$
  • ✓
    $\frac{3}{5}$
  • D
    $\frac{1}{2}$
Answer
Correct option: C.
$\frac{3}{5}$
C
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MCQ 141 Mark
For any two events, $A$ and $B$ if $P ( A )=0.4, P ( A \cup B )$ $=0.7$ and $P(B)=0.3,$ then
  • A
    $\overline{ A }$ and $\overline{ B }$ are independent
  • ✓
    A and B are mutually exclusive
  • C
    A and B are independent
  • D
    none of the above
Answer
Correct option: B.
A and B are mutually exclusive
B
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MCQ 151 Mark
One medicine of fever helps $75 \%$ of the patients. If three persons who are suffering from fever use this medicine, the probability of all the three persons getting benefitted from the medicine is :
  • ✓
    $\frac{27}{64}$
  • B
    $\frac{1}{64}$
  • C
    $\frac{27}{32}$
  • D
    none of these
Answer
Correct option: A.
$\frac{27}{64}$
A
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MCQ 161 Mark
The probability of obtaining at least one head when three coins are tosses simultaneously is :
  • A
    $\frac{1}{3}$
  • B
    $\frac{1}{8}$
  • C
    $\frac{1}{4}$
  • ✓
    $\frac{7}{8}$
Answer
Correct option: D.
$\frac{7}{8}$
D
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MCQ 171 Mark
The probability of a teacher taking test in class is $\frac{1}{3}$. If a student is absent twice, then his probability of at least not giving one test is :
  • ✓
    $\frac{9}{25}$
  • B
    $\frac{13}{25}$
  • C
    $\frac{11}{25}$
  • D
    $\frac{23}{25}$
Answer
Correct option: A.
$\frac{9}{25}$
A
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