85.0k views
5 votes
Seth and Chris are pulling cards from a deck of hearts, numbered 1(Ace) through 5. Their results are listed below. Seth Chris Pull Card 1 Clipart of five hearts playing card. 2 An image of hearts A card, the left top, and the bottom right are marked with a heart symbol and the letter A in red. 3 A playing card image shows 3 with  red heart . 4 Clipart of five hearts playing card. Pull Card 1 Clipart of five hearts playing card. 2 A playing card image shows 4 with  red heart . 3 An image of the heart's number 2 card, the left top, and the bottom right are marked with a heart symbol and the number 2 in red. 4 An image of hearts A card, the left top, and the bottom right are marked with a heart symbol and the letter A in red. Pull Card 5 Clipart of five hearts playing card. 6 An image of the heart's number 2 card, the left top, and the bottom right are marked with a heart symbol and the number 2 in red. 7 An image of hearts A card, the left top, and the bottom right are marked with a heart symbol and the letter A in red. 8 An image of the heart's number 2 card, the left top, and the bottom right are marked with a heart symbol and the number 2 in red. Whose experimental probability is closer to the theoretical probability of pulling out a card with an even number on it?

1 Answer

6 votes

Final answer:

Seth's experimental probability is closer to the theoretical probability of pulling a card with an even number on it.

Step-by-step explanation:

To determine whose experimental probability is closer to the theoretical probability of pulling out a card with an even number on it, we need to compare the number of even-numbered cards each person pulled with the total number of cards they pulled.

Let's calculate:

Seth:

Number of even-numbered cards pulled: 2

Total number of cards pulled: 4

Experimental probability of pulling an even-numbered card:

2/4 = 0.5 or 50%

Chris:

Number of even-numbered cards pulled: 3

Total number of cards pulled: 8

Experimental probability of pulling an even-numbered card:

3/8 = 0.375 or 37.5%

Comparing the experimental probabilities, we can see that Seth's experimental probability of 50% is closer to the theoretical probability of pulling a card with an even number on it (which is 50%) compared to Chris' experimental probability of 37.5%.

Therefore, Seth's experimental probability is closer to the theoretical probability.

User Linn
by
7.7k points