Two brothers X and Y appeared for an exam. Let:
- $ A $: event that X passed
- $ B $: event that Y passed
Given:
$$
P(A) = \frac{1}{7},\quad P(B) = \frac{2}{9}
$$
Assuming independence, find the probability that both passed, i.e., $ P(A \cap B) $.
- $ A $: event that X passed
- $ B $: event that Y passed
Given: $$ P(A) = \frac{1}{7},\quad P(B) = \frac{2}{9} $$ Assuming independence, find the probability that both passed, i.e., $ P(A \cap B) $.
Show Hint
- \( \frac{1}{63} \)
- \( \frac{2}{35} \)
- \( \frac{2}{63} \)
- \( \frac{9}{14} \)
The Correct Option is C
Solution and Explanation
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