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The probability of India winning a test match against West-Indies is $\frac{1}{2}$ assuming

independence from match to match the probability that in a match series India's second win occurs at the third test, is

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Important Questions on Probability

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Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

Six persons $A, B, C, X, Y & Z$ go for an interview. What is the probability of selection of $A$ and $Y$ in the interview?

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Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

Assume that each born child is equally likely to be a boy or girl. If two families have two children each, then the conditional probability that all children are girls given that at least two are girls is:

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Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

The probability of guessing correctly at least

8

out of

10

answers on a true-false type examination is

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Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

Two letters are chosen from the letters of the word 'EQUATIONS'. The probability that one is vowel and the other is consonant is

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Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

A

and

B

are any two events such that

P (A) + P (B) - P (A a n d B) = P (A)

, then

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Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

A man speaks truth 2 out of 3 times. He picks one of the natural numbers in the set $S = {1, 2, 3, 4, 5, 6, 7}$ and reports that it is even. The probability that it is actually even is

EASY

Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

Let

A

and

B

be two events such that the probability that exactly one of them occurs is

\frac{2}{5}

and the probability that

A

B

occurs is

\frac{1}{2}

, then the probability of both of them occur together is

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Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

Three numbers are chosen at random without replacement from

{1, 2, 3, \dots \dots, 8}

. The probability that their minimum is

3

, given that their maximum is

6

, is

EASY

Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

A

and

B

are two events such that

P (A) \neq 0

and

P (B| A) = 1

, then

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Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

A bag contains

4

red and

6

black balls. A ball is drawn at random from the bag, its color is observed and this ball along with two additional balls of the same color are returned to the bag. If now a ball is drawn at random from the bag, then the probability that this drawn ball is red, is:

EASY

Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

It is given that the events

A

and

B

are such that

P (A) = \frac{1}{4}, P (A ∣ B) = \frac{1}{2}

and

P (B ∣ A) = \frac{2}{3}

. Then

P (B)

EASY

Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

A

and

B

are events with

P (A \cup B) = \frac{3}{4}, P (A^{'}) = \frac{2}{3}

and

P (A \cap B) = \frac{1}{4}

then

P (B)

EASY

Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

Let

A

and

B

are two independent events. If the probability that both

A

and

B

occur together is

\frac{1}{6}

and the probability that neither of them occurs is

\frac{1}{3}

, then the probability of occurrence of

A

EASY

Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

In a college, $\frac{1}{5} t h$ of the girls and $\frac{1}{8} th$ of the boys took part in a social camp. The total number of students in the college took part in the camp is:

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Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

A die is thrown

7

times. What is the probability that an even number turns up at least

4

times?

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Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

Two numbers are selected at random from the set

\{1, 2, 3, \dots \dots, 13\} .

If the sum of the selected numbers is even, the probability that both the numbers are odd is

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Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

The probability that atleast one of the events

A

and

B

occur is

0.6 .

A

and

B

occur simultaneously with probability

0.2

, then

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

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Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

Let

A

and

B

be two non-null events such that

A \subset B .

Then, which of the following statements is always correct?

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Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

For the following distribution function $F (x)$ of a random variable $X$

$x$	$1$	$2$	$3$	$4$	$5$	$6$
$F (x)$	$0.2$	$0.37$	$0.48$	$0.62$	$0.85$	$1$

$P (3 < X \leq 5) =$

EASY

Mathematics>Statistics and Probability>Probability>Total Probability and Bayes' Theorem

An urn contains

5

red and

2

green balls. A ball is drawn at random from the urn. If the drawn ball is green, then a red ball is added to the urn and if the drawn ball is red, then a green ball is added to the urn; the original ball is not returned to the urn. Now, a second ball is drawn at random from it. The probability that the second ball is red, is:

The probability of India winning a test match against West-Indies is 12 assuming independence from match to match the probability that in a match series India's second win occurs at the third test, is

Important Questions on Probability

Learn and Prepare for any exam you want !

The probability of India winning a test match against West-Indies is $\frac{1}{2}$ assuming

independence from match to match the probability that in a match series India's second win occurs at the third test, is