Question

Josie has a deck of cards and pulls a total of 30 cards, putting each card back into the deck. The deck has hearts, spades, clubs, and diamonds in it. The result data shows the cards she drew. What is the experimental probability that the next card she draws is a heart?

a) 0.25
b) 0.3
c) 0.35
d) 0.4

Answer 1

Without the specific result data showing how many hearts Josie drew out of the 30 cards, we cannot determine the experimental probability. The theoretical probability of drawing a heart is 0.25 or 25%.

Step-by-step explanation:

To determine the experimental probability that Josie draws a heart, we need to know how many hearts she has already drawn out of her total draws. Since we are missing this crucial piece of information from the problem statement, we cannot calculate the experimental probability accurately. However, the theoretical probability of drawing a heart from a well-shuffled standard deck of 52 cards, where there are 13 hearts, is ⅔ or approximately 0.25.

If Josie's outcomes were proportionally representative of the theoretical probability, and each suit had an equal chance of being drawn, then for 30 draws, one could expect approximately 7.5 hearts to have been drawn (30 draws × 0.25 probability of drawing a heart). But to answer the question at hand, the specific number of hearts drawn in the 30 trials is needed to calculate the experimental probability.