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In a certain corporation, there are 300 male employees and 100 female
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05 Oct 2021, 09:59
05 Oct 2021, 09:59
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65% (01:46) correct
35% (02:18) wrong based on 20 sessions
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In a certain corporation, there are 300 male employees and 100 female employees. It is known that 20% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 400 employees is chosen at random, what is the probability this employee has an advanced degree or is female?
A. 1/20
B. 1/10
C. 1/5
D. 2/5
E. 3/4
A. 1/20
B. 1/10
C. 1/5
D. 2/5
E. 3/4
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Re: In a certain corporation, there are 300 male employees and 100 female
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05 Oct 2021, 10:10
05 Oct 2021, 10:10
1
Carcass wrote:
In a certain corporation, there are 300 male employees and 100 female employees. It is known that 20% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 400 employees is chosen at random, what is the probability this employee has an advanced degree or is female?
A. 1/20
B. 1/10
C. 1/5
D. 2/5
E. 3/4
A. 1/20
B. 1/10
C. 1/5
D. 2/5
E. 3/4
20% of the 300 male employees have advanced degrees and 40% of the 100 females have advanced degrees
20% of 300 = 60. So, there are 60 MALES with advanced degrees
40% of 100 = 40. So, there are 40 FEMALES with advanced degrees
Total number of advanced degrees = 60 + 40 = 100
So, P(selected person has advanced degree) = 100/400 = 1/4
Also, P(selected person is female AND has a advanced degree) = 40/400 = 1/10
Also, P(selected person is female) = 100/400 = 1/4
What is the probability the selected employee has an advanced degree or is female?
P(A or B) = P(A) + P(B) - P(A and B)
So, P(employee has advanced degree OR employee is female) = P(employee has advanced degree) + P(employee is female) - P(selected person is female AND has a advanced degree)
= 1/4 + 1/4 - 1/10
= 2/4 - 1/10
= 2/5
Answer: D
Cheers,
Brent
Re: In a certain corporation, there are 300 male employees and 100 female
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24 Feb 2023, 00:47
24 Feb 2023, 00:47
Hi Brent GreenlightTestPrep
Not quite get it with this line here...
Also, P(selected person is female) = 100/400 = 1/4
100 is advanced degree and 400 is the total of Male & Female. Therefore not sure how is 1/4 is P(selected person is female)?
Could you help clarify? Thanks Brent
Not quite get it with this line here...
Also, P(selected person is female) = 100/400 = 1/4
100 is advanced degree and 400 is the total of Male & Female. Therefore not sure how is 1/4 is P(selected person is female)?
Could you help clarify? Thanks Brent
