(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?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
Related questions
Question
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?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 19 images
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage