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?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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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
(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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