(a) Suppose two captains flip frisbees. Assume the probability that a frisbee lands convex side up is p. Compute the probability (in terms of p) that the two frisbees match. (b) Sketch a graph of the probability of a match in terms of p. (c) One Reddit user flipped a frisbee 800 times and found that in practice, the convex side lands up 45% of the time. In a frisbee flip, what is the probability of "same"? What is the probability of "different"? (d) What advice would you give to an ultimate frisbee team captain? (e) Is the two-frisbee flip better than a single-frisbee flip (treated like heads or tails) for deciding the offense?
(a) Suppose two captains flip frisbees. Assume the probability that a frisbee lands convex side up is p. Compute the probability (in terms of p) that the two frisbees match. (b) Sketch a graph of the probability of a match in terms of p. (c) One Reddit user flipped a frisbee 800 times and found that in practice, the convex side lands up 45% of the time. In a frisbee flip, what is the probability of "same"? What is the probability of "different"? (d) What advice would you give to an ultimate frisbee team captain? (e) Is the two-frisbee flip better than a single-frisbee flip (treated like heads or tails) for deciding the offense?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 25E
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Transcribed Image Text:Ultimate frisbee teams decide which team will play offense first by flipping frisbees before the start of the game. Rather than flip one frisbee and call a side, each team captain flips a frisbee and one captain calls whether the two frisbees will land on the same side, or on different sides. This is because the probability of a frisbee landing on its convex side seems likely to be different from the probability of landing on its concave side.
(a) Suppose two captains flip frisbees. Assume the probability that a frisbee lands convex side up is \( p \). Compute the probability (in terms of \( p \)) that the two frisbees match.
(b) Sketch a graph of the probability of a match in terms of \( p \).
(c) One Reddit user flipped a frisbee 800 times and found that in practice, the convex side lands up 45% of the time. In a frisbee flip, what is the probability of “same”? What is the probability of “different”?
(d) What advice would you give to an ultimate frisbee team captain?
(e) Is the two-frisbee flip better than a single-frisbee flip (treated like heads or tails) for deciding the offense?
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