1.It is estimated that 60% of fifth graders have gone camping, and that 23% have gone camping and seen a bear.A total of 35% have seen a bear. Round your answers to the nearest hundredth.

a.What is the probability that a randomly selected fifth grader has seen a bear, given that he or she has been camping?

b.What is the probability that a randomly selected fifth grader has been camping, given that he or she has seen a bear?

2.An urn contains 5 blue and 5 red balls.Four balls are randomly drawn from the urn in succession, with replacement.That is, after each draw, the selected ball is returned to the urn.What is the probability that all 4 balls drawn from the urn are red?Round your answer to 3 decimal places.

Extra Credit

1.A spinner has 8 equally sized slices numbered from 1 to 8.Answer each question as a fraction.The wheel will be spun and will stop on a slice at random. (1 and 8 are purple, 2 and 3 are yellow, 4, 5, and 6 are blue, and 7 is red)

a.What is the probability that the wheel stops on the number 4?

b.What is the probability that the wheel stops on number 4, given that the wheel stops on blue?