Question

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

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

Answer 2

We will make an estimation based on theory, and with that we will conclude that the correct option is A.

What would be a good estimation?

So, we know that there are 4 aces on the deck, and we should assume that each ace has the same probability of being drawn.

Here we know that he drew an ace 332 times from that deck, and we should expect that these draws are equally distributed among the 4 aces, so the expected estimation of times that he drew the ace of hearts is:

332/4 = 83

By looking at the options, the closer one to this estimation is option A, so that is the correct option.

If you want to learn more about probability, you can read:

https://brainly.com/question/251701