Question

Cora is playing a game that involves flipping three coins at once. Let the random variable h be the number of coins that land showing 'heads'. Here is the probability distribution for h: what is the probability that Cora flips no more than 2 heads?

Answer 1

The probability that Cora flips no more than 2 heads is 5/8.

Step-by-step explanation:

To find the probability that Cora flips no more than 2 heads, we need to add the probabilities of flipping 0, 1, and 2 heads together.

The probability of flipping 0 heads (all tails) is 1/8.

The probability of flipping 1 head is the same as flipping 1 tail, so the probability is 3/8.

The probability of flipping 2 heads (HH) is 1/8.

To find the probability of no more than 2 heads, we add these probabilities: 1/8 + 3/8 + 1/8 = 5/8.