Question

a board game uses the deck of 20 cards shown to the right. two cards are selected at random from this deck. calculate the probability of selecting a monkey on the first draw and a frog on the second draw, both with and without replacement. two cards are to be selected with replacement. determine the probability the first card selected shows a monkey and the second shows a frog. (type an integer or a simplified fraction.)

Explanation:

Answer:

There are 5 monkeys and 5 frogs in the 20 - card deck.
The probability that the first card is a monkey is $\frac{5}{20}=\frac{1}{4}$.
Since the selection is with replacement, the probability that the second card is a frog is $\frac{5}{20}=\frac{1}{4}$.
The probability that the first card is a monkey and the second card is a frog is $\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}$