If Ari, Ben and Carol each choose a number at random between 1 to 5, inclusive, what is the probability that all pf them choose different number?

Since they are different people with different thoughts and knowledge giving them to choose different numbers all though two of them might choose the same number

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currie0314 currie0314 · Answer 2 · 2020-10-01T11:33:35+02:00

Answer:

12/25

Step-by-step explanation:

If one person chooses a number from 1-5 already, they basically have any choice between 1-5 at their disposal. Therefore, there is not much of a probability for them. If the next individual's number will be different, there will be 4 numbers left. Additionally, this means that the next person (let's say Ben) will have a probability 4/5 since that is if he chooses a different number. There will be 3 numbers remaining, so the last person who picks will have a probability of 3/5.

3/5 and 4/5 are boh probabilities, so multiply them together to get one, which is 12/25.