Question

A standard deck of 52 cards contains four suits: clubs, spades, hearts, and diamonds. Each deck contains an equal number of cards in each suit. Rochelle chooses a card from the deck, records the suit, and replaces the card. Her results are shown in the table.

How does the experimental probability of choosing a heart compare with the theoretical probability of choosing a heart?

A.The theoretical probability of choosing a heart is 1/16 greater than the experimental probability of choosing a heart.

B.The experimental probability of choosing a heart is 1/16 greater than the theoretical probability of choosing a heart.

C.The theoretical probability of choosing a heart is 1/26 greater than the experimental probability of choosing a heart.

D.The experimental probability of choosing a heart is 1/26 greater than the theoretical probability of choosing a heart.

Answer 1

The right answer is A - The theoretical probability of choosing a heart is StartFraction 1 over 16 EndFraction greater than the experimental probability of choosing a heart.

Answer 2

52 cards / 4 suits = 13 cards of each suit.

Theoretically picking a heart would be 13/52 = 1/4 probability.

Experimentally she picked 15 hearts out of 80 total tries. for a 15/80 = 3/16 probability, which is less than the theoretical probability.

1/4 - 3/16 = 1/16

The answer is A.