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# A basketball team’s current roster consists of g guards and f forwards

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Math Expert
Joined: 02 Sep 2009
Posts: 58429
A basketball team’s current roster consists of g guards and f forwards  [#permalink]

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07 Mar 2017, 02:02
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Difficulty:

5% (low)

Question Stats:

87% (01:06) correct 13% (01:14) wrong based on 105 sessions

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A basketball team’s current roster consists of g guards and f forwards. If 2 guards join and 1 forward leaves, what is the probability that a player chosen at random is a guard?

A. g/(g+f)

B. (g+2)/(g+f)

C. (g+2)/(g+f+3)

D. (g+2)/(g+f+1)

E. (g+2)/(g+f+2)

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Re: A basketball team’s current roster consists of g guards and f forwards  [#permalink]

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07 Mar 2017, 02:42
2
1
Bunuel wrote:
A basketball team’s current roster consists of g guards and f forwards. If 2 guards join and 1 forward leaves, what is the probability that a player chosen at random is a guard?

A. g/(g+f)

B. (g+2)/(g+f)

C. (g+2)/(g+f+3)

D. (g+2)/(g+f+1)

E. (g+2)/(g+f+2)

If 2 guards join and 1 forward leaves,total guards = g+2 and total forwards = f-1, total players = g+2+f-1=g+f+1
The probability that a player chosen at random is a guard = (g+2)/(g+f+1)

Hence option D is correct
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Re: A basketball team’s current roster consists of g guards and f forwards  [#permalink]

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15 Mar 2019, 15:19
Hi All,

We're told that a basketball team’s current roster consists of G guards and F forwards - and 2 guards join and 1 forward leaves. We're asked for the probability that a player chosen at random is a guard. This question can be approached in a couple of different ways, including by TESTing VALUES.

IF... G=2 and F=3, then after 2 guards JOIN and 1 forward LEAVES, we have....
4 total guards and 2 total forwards.
The probability of randomly choosing a guard is 4/6.

Thus, we're looking for an answer that equals 4/6 when G=2 and F=3. There's only one answer that matches...

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Rich
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Re: A basketball team’s current roster consists of g guards and f forwards   [#permalink] 15 Mar 2019, 15:19
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# A basketball team’s current roster consists of g guards and f forwards

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