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.
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
