Question

Brian spins a fair spinner numbered 1 - 5 and flips a fair coin.

What is the probability of obtaining a 2 and a head?

Answer 1

Answer: 0.1

Explanation:

If we spin a fair spinner numbered 1 - 5 and flips a fair coin.

Then, the possible outcomes will be :-

`(1,T),(2,T), (3,T), (4,T), (5,T)\\\\(1,H),(2,H), (3,H), (4,H), (5,H)`

i.e. total 10 possible outcomes.

The favorable outcomes = a 2 and a head i.e. only 1 .

Now, the probability of obtaining a 2 and a head will be :_

`\frac{\text{Number of favorable outcome}}{\text{Total outcomes}}\\\\=(1)/(10)=0.1`

Hence, the probability of obtaining a 2 and a head = 0.1