Probability of Getting 3 Heads in 4 Coin Tosses

The probability of getting exactly 3 heads when 4 fair coins are tossed can be calculated using the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^{n - k}

Where:

• n is the number of trials (coin tosses), which is 4.
• k is the number of successes (heads), which is 3.
• p is the probability of success on each trial (getting heads), which is 1/2.

Substituting the values, we get:

P(X = 3) = C(4, 3) * (1/2)³ * (1/2)¹

Now, calculate the binomial coefficient:

C(4, 3) = 4

Finally, calculate the probability:

P(X = 3) = 4 * (1/2)⁴ = 4 * 1/16 = 1/4

So, the probability of getting exactly 3 heads when 4 fair coins are tossed is 1/4 or 0.25.