MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 47

EASY

12th CBSE

IMPORTANT

Earn 100

.In a college $30 %$ students fail in Physics, $25 %$ fail in Mathematics and $10 %$ fail in both. One student is chosen at random. The probability that she fails in Physics if she has failed in Mathematics is

50% studentsanswered this correctly

Important Questions on Probability

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 48

Three persons,

A, B

and

C

fire a target in turn starting with

A

. Their probabilities of hitting the target are

0.4, 0.3

and

0.2

respectively. The probability of two hits is

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 49

A

and

B

are two students. Their chances of solving a problem correctly are

\frac{1}{3}

and

\frac{1}{4}

respectively. If the probability of their making common error is

\frac{1}{20}

and they obtain the same answer, then the probability of their answer to be correct is

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 50

Two cards are drawn from a well shuffled deck of

52

playing cards with replacement. The probability that both cards are queen is

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 51

A box contains

3

orange balls,

3

green balls and

2

blue balls. Three balls are drawn at random from the box without replacement. The probability of drawing

2

green balls and one blue ball is

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 52

If two events are independent, then

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 53

Two dice are thrown. If it is known that the sum of the numbers on the dice was less than

6,

the probability of getting a sum

3,

is

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 54

If

A

and

B

are such that

P (A \cup B) = \frac{5}{9}

and

P (\bar{A} \cup \bar{B}) = \frac{2}{3}

then

P (\bar{A}) + P (\bar{B}) =

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 12 - Probability>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 55

If

A

and

B

are two events such that

P (\frac{A}{B}) = p, P (A) = p, P (B) = \frac{1}{3}

and

P (A \cup B) = \frac{5}{9}

then

p =