The probability to get heads on all three quarters is 1/8.
Explanation:
Given data :
- Leslie has three quarters.
- Each quarters have 2 sides namely the Head and the Tail.
It can be determined that :
The total number of possible outcomes you can get from the three quarters with two sides = 2³ ⇒ 2×2×2 ⇒ 8 total outcomes.
If she drops all three of the quarters in the same time, there will be a total of 8 different outcomes.
These 8 outcomes include (T,T,T), (H,T,T), (H,H,T), (T,H,H), (T,T,H), (T,H,T), (H,H,T), (H,H,H).
From the above shown different possible outcomes, you need to find the probability that all three quarters will land on Heads.
Probability(3 heads)= No. of outcomes with 3 heads / Total no.of outcomes
We know that,
- The no.of outcomes with 3 heads is only 1.
- The total no.of outcomes is 8.
⇒ P( 3 heads ) = 1/8
The probability to get heads on all three quarters is 1/8.