What is experimental and theoretical probability?

Answer 1

They are just used to make equations and make more things like more equations and estimates!
Theoretical Probability: P(event) the ratio of the number of favorable outcomes to the number of possible outcomes, written as a ratio.

example: number of favorable outcomes over number of possible outcomes

Amelynn is hungry, so she gets out a bowl and puts in 2 red jelly beans, 3 blue jelly beans, 12 pink jelly beans, and 3 yellow jelly beans. Amelynn likes the pink ones the best. What is the theoretical possibility of her getting a pink jelly bean?

Answer: 12 over 20. (or 3 over 5 [simplest form])

Explanation: Amelynn put 20 jelly beans in the bowl. She wants the pink ones, and

there are 12 pink jelly beans, which are the favorable outcomes. There are 20 jelly beans, and these are the possible outcomes. This means that it is 12 over 20. You might have to put this in simplest form as well. also this is 60% total.

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Experimental Probability: The number of times the outcome occurs compared to the total number of trials.

example: number of favorable outcomes over total number of trials.

Amelynn is flipping a coin. She finished the task one time, then did it again. Here are her results: heads: three times and tails: seven times. What is the experimental probability of the coin landing on heads?

Answer: 3/10

Explanation: Amelynn flipped the coin a total of 10 times, getting heads 3 times. Therefore, the answer is: 3/10 or 30%
Theoretical probability ... a coin has 2 sides so the theoretical probability of flipping a coin and getting heads is 1/2.

Experimental probability... flip a coin 10 time and you get 7 heads so the experimental probability of getting heads is 7/10

Answer 2

Experimental probability:

experimental probability is when you actually experiment to see the results of a real life problem

Example:

There is a coin and you decide to toss it to see what were the results. Say you toss it 10 times but it lads on tails only 3 times but head on 7 times. So the experimental probability for tails is 3/10 and for heads it is 7/10.That is what experimental probability is.

Mathematically:

number of favorable trials

total number of trials

Theoretical probability:

theoretical probability is when you decide what will probably happen with the information given about the topic

Example:

You have a bag full of blocks. There are 3 red, 6 yellow, 1 pink, and 10 blue. The theoretical probability is this:

(P)red = 3/20 (P)yelllow = 6/20 (P) pink = 1/20 (P)blue = 10/20

Mathematically:

number of favorable outcomes

number of possible outcomes

Answer 3

They are just used to make equations and make more things like more equations and estimates!
Theoretical Probability: P(event) the ratio of the number of favorable outcomes to the number of possible outcomes, written as a ratio.

example: number of favorable outcomes over number of possible outcomes

Amelynn is hungry, so she gets out a bowl and puts in 2 red jelly beans, 3 blue jelly beans, 12 pink jelly beans, and 3 yellow jelly beans. Amelynn likes the pink ones the best. What is the theoretical possibility of her getting a pink jelly bean?

Answer: 12 over 20. (or 3 over 5 [simplest form])

Explanation: Amelynn put 20 jelly beans in the bowl. She wants the pink ones, and

there are 12 pink jelly beans, which are the favorable outcomes. There are 20 jelly beans, and these are the possible outcomes. This means that it is 12 over 20. You might have to put this in simplest form as well. also this is 60% total.

******************************************************************************************

Experimental Probability: The number of times the outcome occurs compared to the total number of trials.

example: number of favorable outcomes over total number of trials.

Amelynn is flipping a coin. She finished the task one time, then did it again. Here are her results: heads: three times and tails: seven times. What is the experimental probability of the coin landing on heads?

Answer: 3/10

Explanation: Amelynn flipped the coin a total of 10 times, getting heads 3 times. Therefore, the answer is: 3/10 or 30%
Theoretical probability ... a coin has 2 sides so the theoretical probability of flipping a coin and getting heads is 1/2.

Experimental probability... flip a coin 10 time and you get 7 heads so the experimental probability of getting heads is 7/10