Question

A pack of cards consists of $15$ cards numbered $1$ to $15$. Three cards are drawn at random with replacement. Then, the probability of getting two odd and one even numbered cards, is?

• A. $\frac{348}{1125}$
• B. $\frac{398}{1125}$
• C. $\frac{448}{1125}$
• D. $\frac{498}{1125}$

Answer 1

Answer: (C)

$\frac{448}{1125}$

no of odd numbers = $8$

no of even numbers = $7$

Probability of getting two odd and even number = $\frac{8\times 8\times 7\times 3!}{15\times 15\times 15\times 2!}=\frac{448}{1125}$