Question

Find \( P(G \cap \overline{H}) \), where \( G \) is the event of Jaspreet's selection and \( \overline{H} \) denotes the event that Rohit is not selected.

Hint:

For independent events, the probability of their intersection is the product of their individual probabilities.

Answer 1

\( P(G | \overline{H}) \) is the conditional probability of \( G \) given \( \overline{H} \).

\( P(G \cap \overline{H}) \) is the probability that both \( G \) and \( \overline{H} \) occur.

\( P(\overline{H}) \) is the probability that \( H \) does not occur.

\[ P(G | \overline{H}) = \frac{P(G \cap \overline{H})}{P(\overline{H})} = \frac{1}{3} \]