Question

PLEASE HELP!!!!!!!!!!!!

The organized list shows all the possible outcomes of an experiment in which three fair coins are flipped. The possible outcomes of each flip are heads​ (H) and tails​ (T).

Sample Space: HHH HHT HTH HTT THH THT TTH TTT

What is the probability that exactly 3 fair coins land heads up when 3 are flipped?

The probability is?

Type an integer or a fraction.

Answer 1

To find the probability of getting exactly 3 heads when 3 fair coins are flipped, we need to determine the number of favorable outcomes (outcomes with 3 heads) and divide it by the total number of possible outcomes.

From the sample space given, we can see that there is only one outcome with 3 heads: HHH.

The total number of possible outcomes is 2^3 = 8, as each coin can land in either heads or tails, and there are 3 coins.

Therefore, the probability of getting exactly 3 heads when 3 fair coins are flipped is 1/8.