Question

A grab bag contains 4 football cards and 6 basketball cards. An experiment consists of taking one card out of the bag, replacing it, and then selecting another card. What is the probability of selecting a football card and then a basketball card? Express your answer as a decimal.

Answer 1

0.24

Explanation:

6/10 - baseball cards

4/10 - football cards

6/10 = 0.6

4/10 = 0.4

0.6 X 0.4 = 0.24

Answer 2

Total Number of cards = 4 + 6 = 10
Number of Football cards = 4
Number of Basketball cards = 6

Probability of choosing a football card = 4/10 = 0.4
Since this card is replaced, the total number of cards will remain the same.

Probability of selecting a basketball card = 6/10 = 0.6

Since, the two events are independent, the probability of selecting a football and a basketball card will be the product of two probabilities we calculated.

Thus, probability of selecting a football card and then a basketball card = 0.4 x 0.6 = 0.24