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Belle has a collection of trading cards. The table shows how many of each type of card she has. A card will be randomly drawn from her collection and replaced 60 times

Type: Number:

Baseball 13

Football. 8

Basketball. 5

Soccer. 9


What is a reasonable prediction for the number of times a basketball or soccer card will be drawn?

1 Answer

3 votes
To find a reasonable prediction for the number of times a basketball or soccer card will be drawn, we first need to find the total number of cards in Belle's collection. If we add up the number of each type of card, we find that she has a total of 13 + 8 + 5 + 9 = 35 cards.

Since Belle is drawing a card and replacing it 60 times, a reasonable prediction for the number of times a basketball or soccer card will be drawn is 0.5 * 60 = 30 times. This assumes that the probability of drawing a basketball or soccer card is equal to the ratio of the number of basketball or soccer cards to the total number of cards in her collection, or 5 + 9 = 14 cards out of 35 cards, or 14/35 = 0.4. Multiplying this probability by the number of draws, 0.4 * 60 = 24, gives a prediction of 24 times.

However, since this is a prediction based on probability, it is only an estimate and the actual number of times a basketball or soccer card will be drawn may be different.
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