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A major league baseball player went up to bat 662 times during a certain season. He had the following number of hits: 105 singles, 22 doubles, 8 triples and 25 home runs. He also had 147 strikeouts and 95 walks. (Some basic baseball definitions are below)What is the probability of him hitting a single when he comes to bat? Number (Round to three decimal places.) What is the probability he strikes out or walks when he comes to bat? Number (Round to three decimal places.) If he gets a hit, what is the probability it is a home run?

Respuesta :

Answer: a) 0.159, b) 0.366, c) 0.038.

Step-by-step explanation:

Since we have given that

Number of singles = 105

number of doubles = 2

Number of triples = 8

Number of home runs = 25

Number of strikeouts = 147

Number of walks = 95

Total number of times = 662

So, probability of him hitting a single when he comes to bat would be

[tex]\dfrac{Single}{total}=\dfrac{105}{662}=0.159[/tex]

Probability of getting he strikes out or walks when he comes to bat would be

[tex]\dfrac{Strikes\ out+walk}{Total}=\dfrac{147+95}{662}=\dfrac{242}{662}=0.366[/tex]

Probability that it is a home run is given by

[tex]\dfrac{Home\ run}{Total}=\dfrac{25}{662}=0.038[/tex]

Hence, a) 0.159, b) 0.366, c) 0.038.

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