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: $\dfrac{3}{10}$

Step-by-step 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 :-

$P(A)=\dfrac{3}{5}$

The probability of getting a tail :-

$P(B)=\dfrac{1}{2}$

Since both the events are independent , thus

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

$P(A)\times P(B)\\\\=\dfrac{3}{5}\times\dfrac{1}{2}=\dfrac{3}{10}$

Hence, the required probability : $\dfrac{3}{10}$