(a)
To calculate : The probability that the track is wet and M wins.
The required probability is
Given information :
If the track is wet, M has a
Calculation :
The chance that the track will be wet
The chance of winning if the track is wet
Therefore, the required probability is,
(b)
To calculate : The probability that the track is dry and M wins.
The required probability is
Given information :
If the track is wet, M has a
Calculation :
The chance that the track will be wet
The chance that the track will be dry,
The chance of winning if the track is dry
Therefore, the required probability is,
(c)
To calculate : The probability that M wins.
The required probability is
Given information :
If the track is wet, M has a
Calculation :
M can either win or lose.
Therefore, the required probability is
(d)
To calculate : The probability that (in retrospect) the track was wet, given that M won.
The required probability is
Given information :
If the track is wet, M has a
Calculation :
Let
Let
Let
So,
Therefore, the required probability is
Chapter 10 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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