Question

An experiment is to flip a fair coin four times. What is the probability of getting at least two heads?

Answer 1

To find the probability of getting at least two heads when flipping a fair coin four times, we calculate the probabilities of getting exactly two, three, or four heads and add them together.

Step-by-step explanation:

To find the probability of getting at least two heads when flipping a fair coin four times, we need to find the probability of getting exactly two heads, exactly three heads, and exactly four heads, and add them together.

The probability of getting exactly two heads when flipping a coin four times is calculated by using the binomial probability formula:

1. Number of ways to get two heads: 4C2 = 6
2. Probability of getting a head: 0.5
3. Probability of getting a tail: 0.5
4. Probability of getting exactly two heads: 6 * (0.5)^2 * (0.5)^2 = 0.375

Similarly, the probabilities of getting exactly three heads and exactly four heads can be calculated using the same formula. Adding these probabilities together gives the probability of getting at least two heads.