you draw five card from a standard deck of 52 cards p(heart)=4/5. what type of probability is illustrated and why??
1) Theroretical ; the result is based on then number of possible outcomes
2) Theroretical; the result is found by repeating an experiment
3)Expiremental; the result is based on then number of possible outcomes •••
4) Expirmental; the result is found by repeating an experiment
depends what you mean by p(heart)
Is it the probability that you will get at least one heart in your 5 draws?
let's find the prob of NO hearts
= C(39,5) / C(52,5) = .2215..
so the prob of at least 1 heart = 1 - .2215..
= appr .7785
but it was given as 4/5 or .8
so it could not have been theoretical
I agree with your choice.
Did you reason it out the same way?
The correct answer is option 1) Theoretical; the result is based on the number of possible outcomes.
The given scenario involves drawing five cards from a standard deck of 52 cards. The probability being calculated is P(heart), which represents the probability of drawing a heart. Since there are 4 suits in a standard deck and each suit contains 13 cards, the probability of drawing a heart is 13/52 or 1/4.
This type of probability is known as theoretical probability because it is based on the number of possible outcomes. In this case, there are 52 possible outcomes (cards in the deck) and 13 favorable outcomes (hearts). The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Experimental probability, on the other hand, involves actually conducting an experiment or trial multiple times and analyzing the observed outcomes. In this scenario, there is no repetition of the experiment, so it is not experimental probability. Therefore, option 3) Experimental; the result is based on the number of possible outcomes, is not applicable in this case.