Answer: The chances of occurrence of tail when we toss the coin is 50% which can be explained by the following formula:
Probability = Number of favorable events / # of Total event
Here the number of Total events = 2^3 =8
Number of total events can also be found by following Way:
1. Head, Head, Head
2. Head, Head, Tail
3. Head, Tail, Tail
4. Tail, Tail, Tail
5. Tail, Tail, Head
6. Tail, Head, Head
7. Head, Tail, Head
8. Tail, Head, Tail
This implies
Number of favorable events = 1 & Number of Total events = 8
By putting values:
Probability = 1 / 8 = 12.5%
So the chances of winning $10 is 12.5% whereas loosing $2 is 87.5%.