Probability (IPMAT/JIPMAT) - Free PYQs + Solutions

Q1:

Indore 2023

Modern Math

>

Probability

Easy

Q1:

The minimum number of times a fair coin must be tossed so that the probability of getting at least one head exceeds 0.8 is

5

6

3

7

Correct Answer

Option: 3

Correct Answer

Explanation →

Q2:

Indore 2023

Modern Math

>

Probability

Medium

Q2:

The probability that a randomly chosen positive divisor of

10 ^ {2023}

is an integer multiple of

10 ^ {2001}

is

\dfrac{22}{2023}

\dfrac{23^2}{{2024}^2}

\dfrac{22}{2024}

\dfrac{22^2}{{2023}^2}

Correct Answer

Option: 2

Correct Answer

Explanation →

Q3:

Indore 2020

Modern Math

>

Probability

Hard

Q3:

The probability that a randomly chosen factor of

10^{19}

is a multiple of

10^{15}

is

\frac{1}{25}

\frac{1}{12}

\frac{1}{20}

\frac{1}{16}

Correct Answer

Option: 4

Correct Answer

Explanation →

Q4:

Indore 2020

Modern Math

>

Probability

Hard

Q4:

A man is known to speak the truth on an average 4 out of 5 times. He throws a die and reports that it is a five. The probability that it is actually a five is

\frac{4}{9}

\frac{5}{9}

\frac{4}{15}

\frac{2}{15}

Correct Answer

Option: 1

Correct Answer

Explanation →

Q5:

Indore 2019

Modern Math

>

Probability

Medium

Q5:

A die is thrown three times and the sum of the three numbers is found to be 15. The probability that the first throw was a four is

\frac{1}{6}

\frac{1}{4}

\frac{1}{5}

\frac{1}{10}

Correct Answer

Option: 3

Correct Answer

Explanation →

Q6:

Indore 2019

Modern Math

>

Probability

Hard

Q6:

From a pack of 52 cards, we draw one by one, without replacement. If

f(n)

is the probability that an Ace will appear at the

n^{\text{th}}

turn, then

f(2) = \frac{1}{13} > f(3)

\frac{1}{13} > f(2) > f(3)

f(3) > f(2) = \frac{1}{13}

f(2) = f(3) = \frac{1}{13}

Correct Answer

Option: 2

Correct Answer

Explanation →

Q7:

JIPMAT 2024

Modern Math

>

Probability

Medium

Q7:

A speaks the truth in

75 \%

cases and

B

in

80 \%

of the cases. In what percentage of cases are they likely to contradict each other in narrating the same incident?

5 \%

15 \%

35 \%

45 \%

Correct Answer

Option: 3

Correct Answer

Explanation →

Q8:

JIPMAT 2023

Modern Math

>

Probability

Easy

Q8:

The probabilities that A, B, and D can solve a problem independently are 1/3, 1/3, and 1/4 respectively. The probability that only two of them are able to solve the problem is:

\frac{5}{36}

\frac{7}{36}

\frac{13}{36}

\frac12

Correct Answer

Option: 2

Correct Answer

Explanation →

Q9:

JIPMAT 2023

Modern Math

>

Probability

Easy

Q9:

Given below are two statements in the context of throwing two different dice together:

Statement (I): The probability that the two numbers obtained have an even sum is 0.50.

Statement (II): The probability that the two numbers obtained have an even product is 0.75.

In light of the above statements, choose the most appropriate answer from the options given below.

Both Statement (I) and Statement (II) are true.

Both Statement (I) and Statement (II) are false.

Statement (I) is true but Statement (II) is false.

Statement (I) is false but Statement (II) is true.

Correct Answer

Option: 1

Correct Answer

Explanation →

Q10:

JIPMAT 2023

Modern Math

>

Probability

Conceptual

Q10:

Let A and B be two events such that P(A)=0.25, P(B)=0.50 and P(A ∩ B)=0.14. The probability that neither A nor B occurs is:

0.09

0.19

0.39

0.29

Correct Answer

Option: 3

Correct Answer

Explanation →

Q11:

JIPMAT 2022

Modern Math

>

Probability

Medium

Q11:

Given below are two statement based on the following

If

A

and

B

are independent events such that

P(A)=p, P(B)=2 p

and

P

(exactly one of

A, B)=\frac{5}{9}

Statement I:

\mathrm{p}=\frac{1}{3}

Statement II:

\mathrm{p}=\frac{5}{12}

In the light of the above statements, choose the correct answer form the question given below

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is true but Statement II is false

Statement I is false but Statement II is true

Correct Answer

Option: 1

Correct Answer

Explanation →

Q12:

Rohtak 2019

Modern Math

>

Probability

Medium

Q12:

A bag contains 4 blue, 5 white and 6 green balls. Two balls are drawn at random. What is the probability that one ball is white?

(\frac{10}{21})

(\frac{1}{2})

(\frac{3}{4})

(\frac{2}{35})

Correct Answer

Option: 1

Correct Answer

Explanation →

Probability - Past Year Questions

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Probability - Past Year Questions (Free PDF Download)