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9. Mr. Johnson and Mr. Henderson are getting ready to play two rounds of chess. History has shown that Mr. Johnson wins 59% of the first games. However, Mr. Johnson tends to wear down faster than Mr. Henderson and history has shown that he only wins 48% of the second games. Below is a tree diagram that shows what could happen in their next two games. Johnson 0.48 (a) What is the probability that Mr. Johnson wins two games in a row? Johnson 0.50 0.52 Henderson Johnson 0.48 0.41 Henderson 0.52 Henderson (b) What is the probability that Mr. Johnson wins only one game?

9. Mr. Johnson and Mr. Henderson are getting ready to play two rounds of chess. History has shown that Mr. Johnson wins 59% of the first games. However, Mr. Johnson tends to wear down faster than Mr. Henderson and history has shown that he only wins 48% of the second games. Below is a tree diagram that shows what could happen in their next two games. Johnson 0.48 (a) What is the probability that Mr. Johnson wins two games in a row? Johnson 0.50 0.52 Henderson Johnson 0.48 0.41 Henderson 0.52 Henderson (b) What is the probability that Mr. Johnson wins only one game?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 25E
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€ R @ Set background Clear Trame 9. Mr. Johnson and Mr. Henderson are getting ready to play two rounds of chess. History has shown that Mr. Johnson wins 59% of the first games. However, Mr. Johnson tends to wear down faster than Mr. Henderson and history has shown that he only wins 48% of the second games. Below is a tree diagram that shows what could happen in their next two games. Johnson 0.48 (a) What is the probability that Mr. Johnson wins two games in a row? Johnson 0.50 0.52 Henderson Johnson 0.48 0.41 Henderson 0.52 (b) What is the probability that Mr. Johnson wins only one game? Henderson M 1 %6 C $ 5 6 & 7 O 8 ( 9 ✓ 2 Open 6 6 INTL
Transcribed Image Text:€ R @ Set background Clear Trame 9. Mr. Johnson and Mr. Henderson are getting ready to play two rounds of chess. History has shown that Mr. Johnson wins 59% of the first games. However, Mr. Johnson tends to wear down faster than Mr. Henderson and history has shown that he only wins 48% of the second games. Below is a tree diagram that shows what could happen in their next two games. Johnson 0.48 (a) What is the probability that Mr. Johnson wins two games in a row? Johnson 0.50 0.52 Henderson Johnson 0.48 0.41 Henderson 0.52 (b) What is the probability that Mr. Johnson wins only one game? Henderson M 1 %6 C $ 5 6 & 7 O 8 ( 9 ✓ 2 Open 6 6 INTL
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