Question

You spin the spinner twice what is the probability of landing on a 3 and then landing on a 5

Answer 1

Given:

It is given that the spinner will spin twice.

Required:

We have to find the probability of landing on a 3 and then landing on a 5.

Step-by-step explanation:

If you spin the spinner once, there are 3 possibilities each time(3, 4, and 5). The possibility of landing on the number 3 is 1 of these 3 possibilities.

Hence the probability of landing on a 3 first time is

`(1)/(3)`

Each spin is independent. In other words, the spins do not affect each other.

Therefore the probability of landing on 5 in the second spin is

`(1)/(3)`

Because the two events are independent, we find the required probability by multiplying them.

Hence the probability of landing on a 3 and then landing on a 5 is

`(1)/(3)*(1)/(3)=(1)/(9)`

Final answer:

Hence the final answer is

`(1)/(9)`