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Of the 300 employees of a certain company, 65 are accountants. Two emp
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18 Oct 2021, 05:27
18 Oct 2021, 05:27
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Question Stats:
55% (01:40) correct
44% (01:42) wrong based on 9 sessions
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Of the 300 employees of a certain company, 65 are accountants. Two employees of the company will be selected at random, without replacement. Which of the following is closest to the probability that neither of the employees selected will be an accountant?
A 0.3
B 0.4
C 0.5
D 0.6
E 0.7
Kudos for a correct solution.
A 0.3
B 0.4
C 0.5
D 0.6
E 0.7
Kudos for a correct solution.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Of the 300 employees of a certain company, 65 are accountants. Two emp
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18 Oct 2021, 06:39
18 Oct 2021, 06:39
1
Carcass wrote:
Of the 300 employees of a certain company, 65 are accountants. Two employees of the company will be selected at random, without replacement. Which of the following is closest to the probability that neither of the employees selected will be an accountant?
A 0.3
B 0.4
C 0.5
D 0.6
E 0.7
Kudos for a correct solution.
A 0.3
B 0.4
C 0.5
D 0.6
E 0.7
Kudos for a correct solution.
So, there are 300 employees and 235 of them are NOT accountants.
We can solve the question by applying probability rules
P(neither selection is an accountant) = P(1st selection is not an accountant AND 2nd selection is not an accountant)
= P(1st selection is not an accountant) x P(2nd selection is not an accountant)
= 235/300 x 234/299
≈ 0.61
So, the closest answer is D
Cheers,
Brent
gmatclubot
Re: Of the 300 employees of a certain company, 65 are accountants. Two emp [#permalink]
18 Oct 2021, 06:39
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