If a fair coin is tossed twice, what is the probability of obtaining at least one head?
Answer Details
When a fair coin is tossed, there are two possible outcomes: heads or tails, each with a probability of 1/2.
If the coin is tossed twice, there are four possible outcomes:
- heads on the first toss, followed by heads on the second toss (HH)
- heads on the first toss, followed by tails on the second toss (HT)
- tails on the first toss, followed by heads on the second toss (TH)
- tails on the first toss, followed by tails on the second toss (TT)
Out of these four possible outcomes, three of them have at least one head (HH, HT, TH). Therefore, the probability of obtaining at least one head is 3/4 or 0.75.
So the answer is: 0.75.