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

Question

professor190 [17]

2 years ago

9

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?

Mathematics

2 answers:

lisov135 [29] · Answer 1 · 2022-05-19T19:10:56+03:00

lisov135 [29]2 years ago

5 0

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

Len [333] · Answer 2 · 2022-05-19T20:46:20+03:00

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.