Question

The probability that a man and his wife live after 20 years are $\frac{1}{4}$ and $\frac{1}{3}$ respectively. The probability that neither the man nor his wife live after 20 years is

• A. $\frac{3}{4}$
• B. $\frac{5}{12}$
• C. $\frac{7}{12}$
• D. $\frac{1}{2}$

Hint:

"Neither A nor B" translates to $(A' \cap B')$. For independent events, always calculate the individual complementary probabilities first ($1-p$), and then multiply them together. Don't confuse it with $1 - P(A \cap B)$.

Answer 1

The Correct Option is D