In a population of 100,000 males, 80% can be expected to live to age 60 and 60% can be expected to live to 80. Given

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Wed Oct 14, 2020 5:30 pm

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In a population of 100,000 males, 80% can be expected to live to age 60 and 60% can be expected to live to 80. Given that a male in this group is 60, what is the probability that he lives to 80?

A. 48%
B. 60%
C. 75%
D. 78%
E. 80%

OA C

Source: Veritas Prep

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Source: Beat The GMAT — Problem Solving | Wed Oct 14, 2020 5:30 pm

swerve: Legendary Member; Posts: 2560; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

Re: In a population of 100,000 males, 80% can be expected to live to age 60 and 60% can be expected to live to 80. Given

by swerve » Thu Oct 15, 2020 3:31 am

BTGmoderatorDC wrote: ↑
Wed Oct 14, 2020 5:30 pm
In a population of 100,000 males, 80% can be expected to live to age 60 and 60% can be expected to live to 80. Given that a male in this group is 60, what is the probability that he lives to 80?

A. 48%
B. 60%
C. 75%
D. 78%
E. 80%

OA C

Source: Veritas Prep

$P(a) = 80\%$ of the $100,000$ males, $80,000$ males, can be expected to live to $60$- but

$P(b) = 60\%$ of $100,000$ males, $60,000$ males can be expected to live to $80$

$b$ is a subset of a so $\dfrac{60,000}{80,000} \cdot 100 = 75\%\Longrightarrow$C

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8176; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: In a population of 100,000 males, 80% can be expected to live to age 60 and 60% can be expected to live to 80. Given

by Scott@TargetTestPrep » Sat Oct 17, 2020 12:26 pm

BTGmoderatorDC wrote: ↑
Wed Oct 14, 2020 5:30 pm
In a population of 100,000 males, 80% can be expected to live to age 60 and 60% can be expected to live to 80. Given that a male in this group is 60, what is the probability that he lives to 80?

A. 48%
B. 60%
C. 75%
D. 78%
E. 80%

OA C

Solution:

Since 80% and 60% are expected to live to ages 60 and 80, respectively, 80,000 and 60,000 males are expected to live to ages 60 and 80, respectively. Thus, the probability that a male lives to age 80, given that he is 60, is:

60,000/80,000 = 3/4 = 75%

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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