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 top answer is correct :) :) :)

Explanation:

I took the test! :D

Answer 2

The answer would be A.
Experimental Probability is a measure based on true statistical results, so here we examine the chart. There are 80 total trials and 15 times, she drew a heart, so we can express this as 15/80. Theoretical probability is based on what is expected to happen. There are 52 total cards in a deck, and 13 hearts, so we can express this as 13/52. Then we can subtract 15/80 from 13/52 to find that the difference is 1/16 and theoretical probability represents the larger fraction.