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A membership list of 620 people shows that 31 of them have first and
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28 Jul 2021, 10:43
28 Jul 2021, 10:43
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A membership list of 620 people shows that 31 of them have first and last names that begin with the same letter. If a person is selected at random from the list, what is the probability that the person’s first and last names do not begin with the same letter?
(A) 0.05
(B) 0.25
(C) 0.50
(D) 0.75
(E) 0.95
(A) 0.05
(B) 0.25
(C) 0.50
(D) 0.75
(E) 0.95
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
Re: A membership list of 620 people shows that 31 of them have first and
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28 Jul 2021, 11:57
28 Jul 2021, 11:57
Carcass wrote:
A membership list of 620 people shows that 31 of them have first and last names that begin with the same letter. If a person is selected at random from the list, what is the probability that the person’s first and last names do not begin with the same letter?
(A) 0.05
(B) 0.25
(C) 0.50
(D) 0.75
(E) 0.95
(A) 0.05
(B) 0.25
(C) 0.50
(D) 0.75
(E) 0.95
P(first&last name the same letter)=31/620=31/(31*20)=1/20.
P(first&last name not the same letter) = 1 - P(first&last name the same letter) according to complement rule
1 - 0.05 = 0.95. Answer is E.
It's easy, busy entry
gmatclubot
Re: A membership list of 620 people shows that 31 of them have first and [#permalink]
28 Jul 2021, 11:57
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