You draw five cards from a standard deck of 52 cards. P(heart) = 4/5 (fraction). What type of probability is illustrated and why?

Theoretical; the result is based on the number of possible outcomes**

Theoretical; the result is found by repeating an experiment

Experimental; the result is based on the number of possible outcomes

Experimental; the result is found by repeating an experiment**

The ones with ** are the ones I think the answer could be. Please help, thanks. :-)

Since you are actually performing the action, I'd have to go with Experimental.

If asked just to calculate the probability, then it would be theoretical. The actual observations might or might not agree with the calculation. In fact, for any finite number of trials, the expectation is that it would not in fact be exactly as calculated.

The correct answer is "Theoretical; the result is based on the number of possible outcomes."

In this scenario, you are drawing five cards from a standard deck of 52 cards. The probability of drawing a heart is 4/5, which means there are 4 favorable outcomes (hearts) out of a total of 5 possible outcomes (the five cards drawn). This probability is determined theoretically because it is based on the knowledge of the deck's composition (4 hearts out of 52 cards).

It is not an experimental probability because the result is not obtained by actually conducting or repeating the experiment of drawing cards. It is determined by considering the possibilities theoretically, using the knowledge of the deck and its contents. Therefore, the answer is "Theoretical; the result is based on the number of possible outcomes" and not "Experimental; the result is found by repeating an experiment."