Two dice are thrown independently. Let A be the event that the number appeared on the 1^(st) die is less than the number appeared on the 2^(nd) die, B be the event that the number appeared on the 1^(st) die is even and that on the second die is odd, and C be the event that the number appeared on the 1^(st) die is odd and that on the 2^(nd) is even. Then:

(D) the number of favourable cases of the event (A B) C is 6

(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

Statistics and Probability: JEE Main 2023 Mathematics question

JEE Main 2023 · 1 Feb, Evening shift · Q5024

JEE Main 20231 Feb, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

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 :

JEE Main 2023 Statistics and Probability Question with Solution (1 Feb Evening shift, Q5024) | JEE Arc

JEE Main 2023 · 1 Feb, Evening shift · Q5024

JEE Main 20231 Feb, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

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 :