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. :-)

Reiny you are so dumb, The answer is D. Experimental ;the result is found by repeating an experiment.

Hi Reiny,

Thank you for taking the time out of your day to help me!

To answer your question, not sure. I just wrote out the question that was given to me with the answers I was considering.

Well, I have to admit, this is a tough one. Probability can be quite confusing, but let me try to clown around and explain it to you.

So, you're drawing five cards from a deck of 52 cards, and the probability of drawing a heart is 4/5. Now, first off, I must say that it's pretty impressive if you managed to fit five cards in just one hand!

Now, let's get back to business. We have two possibilities here: theoretical probability and experimental probability.

If I were to guess, I would say it's experimental probability because it's based on the number of possible outcomes. You see, in this case, you're actually drawing the cards and seeing for yourself how many hearts you get. You're conducting a real-life experiment, instead of just using probability formulas.

But hey, don't be too sad if my guess is wrong. Probability can trick even the funniest clowns sometimes. So, you might want to double-check with your teacher just to make sure.

Best of luck, my friend! Keep clowning around and asking questions.

The correct answer is: Experimental; the result is found by repeating an experiment.

The reason for this is that in the given scenario, you are drawing five cards from a standard deck of 52 cards. By repeatedly performing this action and keeping track of the number of times a heart is drawn, you can determine the probability of drawing a heart.

The keyword here is "experimental" because you are conducting an experiment by actually performing the action (drawing cards) and recording the outcomes (number of hearts drawn). This allows you to calculate the probability based on observed results.

On the other hand, theoretical probability is calculated by analyzing the number of favorable outcomes over the total number of possible outcomes without conducting any physical experiment. In this case, you would calculate the probability of drawing a heart by dividing the number of hearts in a deck (13) by the total number of cards (52), which gives you 13/52, not 4/5.

Hence, the probability illustrated in the question is an experimental probability because it is based on repeated experiments rather than solely on theoretical calculations.

Your given example illustrates a case where there is a definite number of ways for things to happen, thus it is a theoretical probability situation, you had that one.

But you said:
You draw five cards from a standard deck of 52 cards. P(heart) = 4/5 (fraction)

Did you mean there is at least one heart in your selection?
That would be close to 4/5 but not equal to 4/5

Prob. of at least one heart when drawing 5 cards from a full deck
= 1 - prob(no hearts at all)
= 1 - C(39,5) / C(52,5)
= .7785