A weighted coin with Pr[H]=45 is flipped two times. What is the probability at least one of the flips was tails given that at least one of the flips was heads?

Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx

an unfair coin with Pr[H]=0.85 is flipped. If the flip results in a head, one student is selected at random from a class of 4 girls and 6 boys. If the flip results in a tail, one student is selected from a different class containing 7 girls and 3 boys. Find the probability that the flip resulted in heads given that a boy was selected.

Suppose a coin with Pr[H] = 2/3 is flipped 3 times. Using a tree, find the probability that heads was flipped two of the three times.

Suppose that the probability an archer will hit a target is 0.80 and that each shot is independent. If the archer shoots 6 times, what is the probability she hits the target at least 5 times? (Round your answer to three decimal places.)

A weighted coin with Pr[H]=0.4 is flipped 3 times. What is the probability the first and third flips are heads?

Assume that the weighted coin yields a heads with probability 0.75. You select one of the two coins at random, and flip it 3 times, noting heads or tails with each flip. What is the probability that the weighted coin was selected, given that all 3 flips turned up heads?