As a reward for a record year, a software company is randomly selecting 4 people from its 300 employees for a free trip to Hawaii, but it will not pay for a traveling companion. If John and Jill are married and both are employees, what is the probability that they will both win? Define n(S) = total number of ways 4 employees may be selected from 300 employees. 7(S) = Define n(P) = number of ways John and Jill and 2 of the remaining 298 employees are picked for the free trip. (P) = Find the probability that both John and Jill win the free trip. (Round your answer to six decimal places.) Pr(John and Jill) =

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Author:Erwin Kreyszig
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As a reward for a record year, a software company is randomly selecting 4 people from its 300 employees for a free trip to Hawaii, but it will not pay for a traveling companion. If John and Jill are married and both are employees, what is the probability that they will both win?

Define \( n(S) \) = total number of ways 4 employees may be selected from 300 employees.

\[ n(S) = \]

Define \( n(P) \) = number of ways John and Jill and 2 of the remaining 298 employees are picked for the free trip.

\[ n(P) = \]

Find the probability that both John and Jill win the free trip. (Round your answer to six decimal places.)

\[ \text{Pr(John and Jill)} = \]
Transcribed Image Text:As a reward for a record year, a software company is randomly selecting 4 people from its 300 employees for a free trip to Hawaii, but it will not pay for a traveling companion. If John and Jill are married and both are employees, what is the probability that they will both win? Define \( n(S) \) = total number of ways 4 employees may be selected from 300 employees. \[ n(S) = \] Define \( n(P) \) = number of ways John and Jill and 2 of the remaining 298 employees are picked for the free trip. \[ n(P) = \] Find the probability that both John and Jill win the free trip. (Round your answer to six decimal places.) \[ \text{Pr(John and Jill)} = \]
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