Two fair coins are tossed. What is the probability of getting exactly one head?
Solution
Problem
Two fair coins are tossed. What is the probability of getting exactly one head?
Step 1: List the sample space.
When two coins are tossed, the possible outcomes are:
HH, HT, TH, TT
There are 4 equally likely outcomes.
Step 2: Identify the outcomes with exactly one head.
HT contains exactly one head.
TH contains exactly one head.
So there are 2 favorable outcomes.
Step 3: Calculate the probability.
P(exactly one head) = 2 / 4
Step 4: Simplify.
2 / 4 = 1 / 2
Therefore, the probability of getting exactly one head is 1/2.
Result
1/2