How would you find the empirical probability of getting a red card, if you are choosing a card from an ordinary deck of 52 cards?

A. Choose a card from a deck of 52 cards many times and then find the relative frequency of red cards. This would be done by dividing the number of times a red card has occurred by the total number of times a card was chosen.

B. Choose a card from a deck of 52 cards 2 times and then find the relative frequency of red cards. This would be done by dividing the number of times a red card has occurred by 2.

C. The empirical probability cannot be determined

Question

Mathematics

Chasity Andersen

17 April, 17:10

How would you find the empirical probability of getting a red card, if you are choosing a card from an ordinary deck of 52 cards?

A. Choose a card from a deck of 52 cards many times and then find the relative frequency of red cards. This would be done by dividing the number of times a red card has occurred by the total number of times a card was chosen.

B. Choose a card from a deck of 52 cards 2 times and then find the relative frequency of red cards. This would be done by dividing the number of times a red card has occurred by 2.

C. The empirical probability cannot be determined

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Answers (1)

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Justine · Answer 1

You can eliminate choice B because pulling two cards (from 52) does not accurately represent the deck since the sample size is too small.

There are 26 red cards (13 diamonds and 13 hearts) out of 52 total cards.

So the probability is 26/52 = 1/2, which means that the empirical probability can be determined. So choice C is out.

Another way is to pull out cards at random and make notes as to what color cards you are pulling. Then you can divide the count of red cards by the count of cards total. This is basically what choice A is describing.

So the answer is choice A