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Probability question

2023 · 1 Feb · Shift 2 · Q35

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PYQ Library
JEE Main
Mathematics
Probability
2023 · 1 Feb · Shift 2 · Q35

Probability question

2023 · 1 Feb · Shift 2 · Q35

JEE MainMathematicsProbabilityMCQ+4 / −1

Two dice are thrown independently. Let

\mathrm{A}

be the event that the number appeared on the

1^{\text {st }}

die is less than the number appeared on the

2^{\text {nd }}

die,

\mathrm{B}

be the event that the number appeared on the

1^{\text {st }}

die is even and that on the second die is odd, and

\mathrm{C}

be the event that the number appeared on the

1^{\text {st }}

die is odd and that on the

2^{\text {nd }}

is even. Then :

A
A and B are mutually exclusive
B
the number of favourable cases of the events A, B and C are 15, 6 and 6 respectively
C
B and C are independent
D
the number of favourable cases of the event $(\mathrm{A\cup B)\cap C}$ is 6

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