Michael is drawing a card from a standard deck of 52 cards, which includes 4 aces: the ace of clubs, the ace of diamonds, the ace of hearts, and the ace of spades. For each trial, he draws a card, records which card he drew, and returns it to the deck. He draws an ace 332 times. Of the times he draws an ace, which of the following would be a good estimate for the number of times the ace drawn is the ace of hearts?

A. 93

B. 145

C. 229

D. 56

Question

Mathematics

Cutie Pie

5 June, 13:17

Michael is drawing a card from a standard deck of 52 cards, which includes 4 aces: the ace of clubs, the ace of diamonds, the ace of hearts, and the ace of spades. For each trial, he draws a card, records which card he drew, and returns it to the deck. He draws an ace 332 times. Of the times he draws an ace, which of the following would be a good estimate for the number of times the ace drawn is the ace of hearts?

A. 93

B. 145

C. 229

D. 56

+4

Answers (1)

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Davenport · Answer 1

X = number of times an ace was drawn.

y = the number of suits.

z = the outcome we are looking for.

We are solving for z.

x : y = z

332 : 4 = z

z = 83

It is not likely that exactly 25% of the drawings are going to be the ace of hearts, so the best answer is A. 93