AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
If you flip three fair coins, what is the probability that the first two flips will both be heads, and the third flip will be either heads or tails?
Full solution
Q. If you flip three fair coins, what is the probability that the first two flips will both be heads, and the third flip will be either heads or tails?
- Calculate probability of first flip: Calculate the probability of getting heads on the first flip.Probability of heads on one flip = .
- Calculate probability of second flip: Calculate the probability of getting heads on the second flip.Probability of heads on one flip = .
- Calculate probability of third flip: Since the third flip can be either heads or tails, the probability is (it will definitely be one of those).Probability of heads or tails on one flip = .
- Multiply probabilities for total: Multiply the probabilities of each event to get the total probability.Total probability = .
- Perform multiplication for total: Perform the multiplication to find the total probability.Total probability = .
