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Probability — JEE Mathematics MCQs

Master Probability for JEE Main with free mathematics MCQs. Each question includes a detailed solution and instant feedback — practice at easy, medium, and hard difficulty levels to build exam-ready confidence.

5 practice questions with instant feedback and solutions.

Easy•Probability

A die is thrown once. The probability of getting an even number is:

Easy•Probability

A bag contains

5

red balls and

3

blue balls. Two balls are drawn at random without replacement. The probability that both balls are red is:

Easy•Probability

A bag contains 4 red and 6 blue balls. Two balls are drawn without replacement. The probability that the second ball is red given that the first ball drawn was blue is:

Hard•Probability

A computer producing factory has only two plants

T_{1}

and

T_{2}

. Plant

T_{1}

produces

20 \%

and plant

T_{2}

produces

80 \%

of the total computers produced.

7 \%

of computers produced in the factory turn out to be defective. It is known that

P

(computer turns out to be defective given that it is produced in plant

T_{1}

)

=10 P\left(\right.

computer turns out to be defective given that it is produced in plant

\left.T_{2}\right)

, where

P(E)

denotes the probability of an event

E

. A computer produced in the factory is randomly selected and it does not turn out to be defective. Then the probability that it is produced in plant

T_{2}

Medium•Probability

Three randomly chosen nonnegative integers

x, y

and

z

are found to satisfy the equation

x+y+z=10

. Then the probability that

z

is even, is