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In a college, $25 %$ of the boys and $10 %$ of the girls offer Mathematics. The girls constitute $60 %$ of the total number of students. If a student is selected at random and is found to be studying Mathematics. The probability that the student is a girl is

50% studentsanswered this correctly

Important Questions on Probability

EASY

Mathematics>Algebra>Probability>Conditional Probability and Multiplication 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)

HARD

Mathematics>Algebra>Probability>Conditional Probability and Multiplication Theorem

A bag contains

6

red balls and

10

green balls.

3

balls are drawn from it one by one randomly without replacement. If the

3^{rd}

drawn ball is red, then the probability that the first two drawn balls are green is

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Mathematics>Algebra>Probability>Conditional Probability and Multiplication Theorem

A and B

are two independent events with

P (A) = \frac{1}{3} and P (B) = \frac{1}{4}

, then

P (B^{'} ∣ A)

is equal to

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Mathematics>Algebra>Probability>Conditional Probability and Multiplication 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:

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Mathematics>Algebra>Probability>Conditional Probability and Multiplication Theorem

A problem in mathematics is given to three students

A, B, C

and their respective probability of solving the problem is

\frac{1}{2}, \frac{1}{3}

and

\frac{1}{4}

, the probability that the problem will be solved is

EASY

Mathematics>Algebra>Probability>Conditional Probability and Multiplication Theorem

A

and

B

are any two events such that

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

, then

EASY

Mathematics>Algebra>Probability>Conditional Probability and Multiplication Theorem

It is given that 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)

is equal to

EASY

Mathematics>Algebra>Probability>Conditional Probability and Multiplication 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>Algebra>Probability>Conditional Probability and Multiplication 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>Algebra>Probability>Conditional Probability and Multiplication Theorem

Four persons can hit a target correctly with probabilities

\frac{1}{2}, \frac{1}{3}, \frac{1}{4}

and

\frac{1}{8}

respectively. If all hit at the target independently, then the probability that the target would be hit, is

EASY

Mathematics>Algebra>Probability>Conditional Probability and Multiplication 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

EASY

Mathematics>Algebra>Probability>Conditional Probability and Multiplication 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:

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Mathematics>Algebra>Probability>Conditional Probability and Multiplication 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>Algebra>Probability>Conditional Probability and Multiplication Theorem

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

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

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

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Mathematics>Algebra>Probability>Conditional Probability and Multiplication 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>Algebra>Probability>Conditional Probability and Multiplication 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>Algebra>Probability>Conditional Probability and Multiplication 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

MEDIUM

Mathematics>Algebra>Probability>Conditional Probability and Multiplication 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:

EASY

Mathematics>Algebra>Probability>Conditional Probability and Multiplication Theorem

A

and

B

are two events such that

P (A) \neq 0

and

P (B| A) = 1

, then

HARD

Mathematics>Algebra>Probability>Conditional Probability and Multiplication Theorem

In a random experiment, a fair die is rolled until two fours are obtained in succession. The probability that the experiment will end in the fifth throw of the die is equal to :

In a college, 25% of the boys and 10% of the girls offer Mathematics. The girls constitute 60% of the total number of students. If a student is selected at random and is found to be studying Mathematics. The probability that the student is a girl is

Important Questions on Probability

Learn and Prepare for any exam you want !

In a college, $25 %$ of the boys and $10 %$ of the girls offer Mathematics. The girls constitute $60 %$ of the total number of students. If a student is selected at random and is found to be studying Mathematics. The probability that the student is a girl is