Final answer:
The probability of getting at least one head when flipping a coin 4 times is 15/16, which accounts for all outcomes except the single one where all flips result in tails.
Step-by-step explanation:
When flipping a coin 4 times, the probability of getting at least 1 head can be found by subtracting the probability of the opposite event (getting no heads at all) from 1 since the opposite event is getting tails in all 4 flips. Each flip has a 50-50 chance of landing heads or tails.
The probability of getting tails on one flip is 0.5, and because the flips are independent, the probability of getting tails on all 4 flips is 0.5 raised to the power of 4 (0.5 x 0.5 x 0.5 x 0.5), which is 0.0625. Hence, the probability of getting at least 1 head is 1 - 0.0625 which equates to 0.9375. When expressed as a fraction, that probability is 15/16.
To find the probability of getting at least one head when a coin is flipped 4 times, we can find the probability of getting no heads and subtract it from 1.
The probability of getting a head when a fair coin is flipped is 0.5 and the probability of getting a tail is also 0.5.
So, the probability of getting no heads in 4 flips is (0.5 * 0.5 * 0.5 * 0.5) = 0.0625.
Therefore, the probability of getting at least one head is 1 - 0.0625 = 0.9375, or as a fraction, 15/16.