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On this year's Westchester basketball team, the players are all either \(5,7\) or \(11\) years of age. If the product of

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On this year's Westchester basketball team, the players are all either \(5,7\) or \(11\) years of age. If the product of

by VJesus12 » Fri Jul 24, 2020 6:56 am

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On this year's Westchester basketball team, the players are all either \(5,7\) or \(11\) years of age. If the product of the ages of the players on the team is \(18,865,\) then what is the probability that a randomly selected team member will not be \(7?\)

A \(\dfrac37\)

B \(\dfrac25\)

C \(\dfrac{16}{37}\)

D \(\dfrac35\)

E \(\dfrac{49}{55}\)

[spoiler]OA=B[/spoiler]

Source: Princeton Review
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Re: On this year's Westchester basketball team, the players are all either \(5,7\) or \(11\) years of age. If the produc

by deloitte247 » Sun Jul 26, 2020 1:19 am
Player's age is either 5, 7 or 11 years
Product of ages of the players on the team is 18,865.
Prime factors of 18865 = 5*7*7*7*11
There are 5 players and 3 of them are 7 years while the remaining 2 are not. Therefore, the probability that a randomly selected player will not be 7 = 2/5

Answer = option B
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