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P can hit a target 4 times in 5 shots, Q, 3 times in 4 shots and R, tw

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 58449
P can hit a target 4 times in 5 shots, Q, 3 times in 4 shots and R, tw  [#permalink]

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New post 26 Nov 2018, 02:40
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (02:30) correct 30% (02:44) wrong based on 50 sessions

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Senior Manager
Senior Manager
User avatar
P
Joined: 13 Jan 2018
Posts: 342
Location: India
Concentration: Operations, General Management
GMAT 1: 580 Q47 V23
GMAT 2: 640 Q49 V27
GPA: 4
WE: Consulting (Consulting)
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Re: P can hit a target 4 times in 5 shots, Q, 3 times in 4 shots and R, tw  [#permalink]

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New post 26 Nov 2018, 03:07
4
P (hitting the target) = \(\frac{4}{5}\)
P (not hitting the target) = \(\frac{1}{5}\)

Q (hitting the target) = \(\frac{3}{4}\)
Q (not hitting the target) = \(\frac{1}{4}\)

R (hitting the target) =\(\frac{2}{3}\)
R (not hitting the target) =\(\frac{1}{3}\)

Required probability is \(PQ\overline{R}\) + \(P\overline{Q}R\) + \(\overline{P}QR\) + \(PQR\)

= \(\frac{1}{5} + \frac{1}{10} + \frac{2}{15} + \frac{2}{5}\)

= \(\frac{5}{6}\)

OPTION: E
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Chaitanya


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GMAT Club Legend
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Joined: 18 Aug 2017
Posts: 5020
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
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Re: P can hit a target 4 times in 5 shots, Q, 3 times in 4 shots and R, tw  [#permalink]

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New post 26 Nov 2018, 17:54
2
Bunuel wrote:
P can hit a target 4 times in 5 shots, Q, 3 times in 4 shots and R, twice in 3 shots,. They fire simultaneously. What is the probability that at least 2 shots hit?

A. 1/6
B. 1/3
C. 1/2
D. 2/3
E. 5/6



P of P hit= 4/5 P miss 1/5
P of Q hit = 3/4 , miss 1/4
P of R hit 2/3 , miss 1/3

P of atleast 2 hits
(4/5*3/4*1/3)+(4/5*1/4*2/3)+(1/5*3/4*2/3)+(4/5+3/4+2/3)

Solve we get option E ;5/6
GMAT Club Bot
Re: P can hit a target 4 times in 5 shots, Q, 3 times in 4 shots and R, tw   [#permalink] 26 Nov 2018, 17:54
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