The probability of pulling a baseball card from the deck can be calculated as (number of baseball cards recorded + 1) / total number of cards in the deck.
P(baseball) = (9 + 1) / 60 = 10/60 = 1/6
Similarly, the probability of pulling a football card from the deck can be calculated as (number of football cards recorded + 1) / total number of cards in the deck.
P(football) = (11 + 1) / 60 = 12/60 = 1/5
Since the probabilities of pulling a baseball card and a football card are different, the number of baseball cards in the deck is more likely to be the number that corresponds to the higher probability. In this case, the probability of pulling a football card is higher than the probability of pulling a baseball card. Therefore, the most likely number of baseball cards in the deck would be 20.
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 nine baseball cards and 11 football cards. Based on these data, what is, most likely, the number of baseball cards in the deck? (5 points)
20
22
25
27
1 answer