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 2 odd and one even numbered cards is:
Answer & explanation
Correct answer: option 3
P(odd card selected) = $\frac{8}{15}$, P (even card selected) = $\frac{7}{15}$
P(2 odd, 1 even) = ${^3C}_2.(\frac{8}{15})^2.\frac{7}{15}=\frac{448}{1125}$