Jamie has a deck of 60 sports cards, of which some are baseball cards and some are football cards. Jamie pulls out a card randomly from the deck, records its type, and replaces it in the deck. Jamie has already recorded six baseball cards and nine football cards. Based on these data, what is, most likely, the number of baseball cards in the deck? (5 points)

12

15

24

30

1 answer

To determine the most likely number of baseball cards in the deck, we need to consider the total number of cards pulled out so far and the proportions of baseball cards and football cards in the deck.

Jamie has recorded a total of 15 cards so far (6 baseball cards + 9 football cards).

The proportion of baseball cards pulled out so far is 6/15 = 0.4 and the proportion of football cards pulled out so far is 9/15 = 0.6.

If we assume that this proportion is representative of the entire deck, we can set up a proportion to estimate the number of baseball cards in the deck:

x/60 = 0.4

x = 24

Therefore, based on the data provided, the most likely number of baseball cards in the deck is 24.