🛠️ JEE➗ Maths

Two dice are thrown independently. Let \(A\) be the event that the number appeared on the \(1^{\text {st }}\) die is les…

Q1

Two dice are thrown independently. Let \(A\) 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, \(B\) be the event that the number appeared on the \(1^{\text {st }}\) die is even and that on the second die is odd, and \(C\) 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, 1 Feb (Shift 2)]

a

the number of favourable cases of the event \((A \cup B) \cap C\) is 6

b

\(A\) and \(B\) are mutually exhaustive

c

The number of favourable cases of the events \(A, B\) and \(C\) are 15,6 and 6 respectively

d

\(B\) and \(C\) are independent

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