Question

4

You draw five cards from a standard deck of 52 cards. P(heart) =
What type of probability is illustrated and why?
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O A. theoretical; the result is based on the number of possible outcomes
O B. theoretical; the result is found by repeating an experiment
OC. experimental; the result is based on the number of possible outcomes
O D. experimental; the result is found by repeating an experiment
vered

Answer 1

Answer: The type of probability illustrated here is theoretical probability, and option A correctly identifies it as such.

Theoretical probability is based on mathematical reasoning and analysis of possible outcomes. In this case, we know that there are 52 cards in a deck, and 13 of them are hearts. So, the probability of drawing a heart on the first card is 13/52. After the first card is drawn, there are 51 cards remaining in the deck, including 12 hearts. So, the probability of drawing a heart on the second card is 12/51. Continuing this process, we find the probability of drawing five hearts in a row to be:

P(heart) = (13/52) x (12/51) x (11/50) x (10/49) x (9/48) = 0.0104 or about 1.04%

This probability is based purely on mathematical reasoning and analysis of possible outcomes, and does not involve any actual experimentation. Therefore, it is an example of theoretical probability.

Explanation: