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Jack's toy box contains 13 toy soldiers, 7 model airplanes and 5 dolls

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Jack's toy box contains 13 toy soldiers, 7 model airplanes and 5 dolls  [#permalink]

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New post 26 Oct 2016, 06:31
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

95% (00:43) correct 5% (02:49) wrong based on 69 sessions

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Re: Jack's toy box contains 13 toy soldiers, 7 model airplanes and 5 dolls  [#permalink]

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New post 26 Oct 2016, 12:12
Bunuel wrote:
Jack's toy box contains 13 toy soldiers, 7 model airplanes and 5 dolls. What is the probability that a randomly chosen toy from the box will be either a model airplane or a doll?

A. 35/252
B. 12/25
C. (7/25)+(5/24)
D. 20/25
E. 12


Probability of selecting either a model airplanes or a doll = 1 - ( Probability of Selecting a Toy )

Probability of selecting either a model airplanes or a doll = 1 - \(\frac{13C1}{25C1}\)

Probability of selecting either a model airplanes or a doll = 1 - \(\frac{13}{25}\)

Probability of selecting either a model airplanes or a doll = \(\frac{12}{25}\)

Hence answer will be (B)
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Re: Jack's toy box contains 13 toy soldiers, 7 model airplanes and 5 dolls  [#permalink]

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New post 27 Oct 2016, 17:13
Bunuel wrote:
Jack's toy box contains 13 toy soldiers, 7 model airplanes and 5 dolls. What is the probability that a randomly chosen toy from the box will be either a model airplane or a doll?

A. 35/252
B. 12/25
C. (7/25)+(5/24)
D. 20/25
E. 12


Choosing a model airplane excludes the possibility of choosing a doll, and choosing a doll excludes the possibility of choosing a model airplane. There are a total of 25 toys in the box, but only 12 of them are either model airplanes or dolls, so

P(model airplane or doll) = P(model airplane) + P(doll)

P(model airplane or doll) = 7/25 + 5/25 = 12/25

Answer: B
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Re: Jack's toy box contains 13 toy soldiers, 7 model airplanes and 5 dolls  [#permalink]

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New post 27 Oct 2016, 19:52
Bunuel wrote:
Jack's toy box contains 13 toy soldiers, 7 model airplanes and 5 dolls. What is the probability that a randomly chosen toy from the box will be either a model airplane or a doll?

A. 35/252
B. 12/25
C. (7/25)+(5/24)
D. 20/25
E. 12



Total Toys = 13+7+5 = 25

Total Toys that are either a Model Airplane or a Doll = 7+5 = 12

Required Probability = 12/25

Answer : Option B
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Re: Jack's toy box contains 13 toy soldiers, 7 model airplanes and 5 dolls   [#permalink] 27 Oct 2016, 19:52
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