Determine the number of possibilities for a fair coin to land on the same side 3 times in a row after 5 flips of the coin.(1 point)

Answer 1

There are 2 possibilities for each flip of the coin (heads or tails). The probability of the coin landing on the same side 3 times in a row is 1/2^3 = 1/8.

Since there are 5 flips of the coin, we can consider the possibilities for which three of the flips result in the same side and the remaining two flips result in any side.

The number of ways to choose 3 flips out of 5 to land on the same side is given by the combination formula:

C(n, k) = n! / (k!(n-k)!)

C(5, 3) = 5! / (3!(5-3)!) = 10

Therefore, there are 10 possibilities for a fair coin to land on the same side 3 times in a row after 5 flips of the coin.