Answer:
1/10
Step-by-step explanation:
The probability of flipping heads is 1 out of 2 or 1/2
The probability of getting a 5 on the spinner is 1/5
The probability of getting both is 1/2 Â * Â 1/5 = 1/10
You should try this out by listing all the ways this can happen.
Spinner     Coin
1 Â Â Â Â Â Â Â Â Â Â H
2 Â Â Â Â Â Â Â Â Â Â H
3 Â Â Â Â Â Â Â Â Â Â H
4 Â Â Â Â Â Â Â Â Â Â H
5 Â Â Â Â Â Â Â Â Â Â H
1 Â Â Â Â Â Â Â Â Â Â T
2 Â Â Â Â Â Â Â Â Â Â T
3 Â Â Â Â Â Â Â Â Â Â T
4 Â Â Â Â Â Â Â Â Â Â T
5 Â Â Â Â Â Â Â Â Â Â T
There are 10 ways of this problem giving results. Only 1 of them is correct.