Question

Two fair coins are flipped. Given that at least one coin lands on a head, calculate the probability of one head and one tail. Write your answer as a fraction in its simplest form.

Answer 1

The probability of one head and one tail is 2/3.

Step-by-step explanation:

• The possibilities for flipping two fair coins are {T,T}, {H,H}, {H,T}, {T,H}
• Given the case that at least one coin lands on a head, So the total possibilities are {H,H}, {H,T}, {T,H} = 3 possibilities

• Required event is 1 head and 1 tail= {H,T}, {T,H} = 2 possibilities

To calculate the probability of one head and one tail,

Probability = required events / Total events

Probability = 2/3