Question

Spins a fair spinner numbered 1 - 5 and flips a fair coin. What is the probability of obtaining a factor of 15 and a tail?

Answer 1

Answer:
`(3)/(10)`

Explanation:

Let A be the event of getting a factor of 15 when a fair spinner numbered 1 - 5 spins and B be the event that a fair coin is tossed.

The factors of 15 =
`1,\ 3,\ 5`

Then ,the probability of obtaining a factor of 15 is given by :-

`P(A)=(3)/(5)`

The probability of getting a tail :-

`P(B)=(1)/(2)`

Since both the events are independent , thus

The probability of obtaining a factor of 15 and a tail is given by :-

`P(A)* P(B)\\\\=(3)/(5)*(1)/(2)=(3)/(10)`

Hence, the required probability :
`(3)/(10)`