If P A ∪ B = 2 3 , P A ∩ B = 1 6 and P A = 1 3 then

A and B are independent events.

If A and B are two events, then which is not correct

If A and B are independent events then P A ∩ B = 0

P A B C + P A C B = P A ∪ B - P A ∩ B

P A ∩ B = P A + P B - P A ∪ B

MEDIUM

VITEEE

IMPORTANT

Earn 100

A random variable $X$ has Poisson distribution with mean $2 .$ Then $P (X \geq 2)$ equals

50% studentsanswered this correctly

Important Questions on Probability

HARD

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 17 - Probability>Exercise 1>Q 33

The scores on a standardized test in a suburban high school have a mean of

80

with a standard deviation of

12 .

Then the probability that a student will have a score less than

60

HARD

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 17 - Probability>Exercise 1>Q 34

If the mean and variance of a binomial distribution are

4

and

2

, respectively. Then, the probability of at least

7

successes is

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VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 17 - Probability>Exercise 1>Q 35

In how many ways, is it possible to choose a white square and a black square on a chess board so that the squares must not lie in the same row or column?

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VITEEE

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Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 17 - Probability>Exercise 1>Q 36

If a certain missile will hit the target one out of four times and four such missiles are fired at the same time, then what is the probability that the target will be hit atleast once?

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VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 17 - Probability>Exercise 1>Q 37

The probability that at least one of

A

and

B

occurs is

0.6 .

A

and

B

occur simultaneously with probability

0.3

, then find the probability of non-occurrence of

A +

Probability of non-occurrence of

B

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VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 17 - Probability>Exercise 1>Q 38

P (A \cup B) = \frac{2}{3}, P (A \cap B) = \frac{1}{6}

and

P (A) = \frac{1}{3}

then

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VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 17 - Probability>Exercise 1>Q 39

A

and

B

are two events, then which is not correct

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 17 - Probability>Exercise 1>Q 40

The probability of India winning a test match against Australia is

\frac{1}{2}

assuming independence from match to match. The probability that in a match series India's second win occurs at third test match is

A random variable X has Poisson distribution with mean 2. Then PX≥2 equals

Important Questions on Probability

Learn and Prepare for any exam you want !

A random variable $X$ has Poisson distribution with mean $2 .$ Then $P (X \geq 2)$ equals