Question

Andy has 4 red cards, 3 blue cards, and 2 green cards. He chooses a card and replaces it before choosing a card again. How many possible outcomes are in the sample space of Andy's experiment?

A) 18
B) 9
C)81
D)3

Answer 1

Answer: C) 81

Explanation:

Since Andy chooses a card and replaces it before choosing another card, each choice is independent and the total number of possible outcomes is the product of the number of choices for each card.

There are 4 red cards, 3 blue cards, and 2 green cards, so there are a total of 4+3+2=9 cards to choose from.

For each choice, Andy has 9 options. Since he does this twice, the total number of possible outcomes is:

9 x 9 = 81

Therefore, the answer is C) 81.