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Re: Everyone who passes the test will be awarded a degree. The p [#permalink]
I could figure out the A answer but I was not so sure of the method for B. Help please?
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Re: Everyone who passes the test will be awarded a degree. The p [#permalink]
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Proability that Tom passes the test is 0.5, So, probability that he does not pass the test is also 0.5. and the probability that John passes the test is 0.4. So, the probability that John doesn't pass the test is 0.6. (1-P) equation.

So, probability of both get degree is 0.5*0.4= 0.2.

While probability of both don't get degree is 0.5*0.6 =0.3
Hence, probability of atleast one of them gets degree is (1-0.3) 0.7

Ans. B
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Re: Everyone who passes the test will be awarded a degree. The p [#permalink]
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Answer: B
P(Tom passes) = 0.5
So, P(Tom Fails) = 1 - 0.5 = 0.5

P(John passes) = 0.4
So, P(Tom Fails) = 1 - 0.4 = 0.6

The two events are independent from each other.

A: P(Tom passes and John passes) = P(Tom passes) * P(John passes) = 0.5 * 0.4 = 0.2 [because events are independent, their intersection probability is multiplication of the individuals)

B: P(Tom passes and John passes) + P(Tom passes and John fails) + P(Tom fails and John passes) = 1 - P(Tom fails and John fails) = 1 - P(Tom fails)*P(John fails) = 1 - 0.5*0.6 = 1 - 0.3 = 0.7
So B is bigger than A.
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Re: Everyone who passes the test will be awarded a degree. The p [#permalink]
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Carcass wrote:

This question is part of GREPrepClub - The Questions Vault Project



Everyone who passes the test will be awarded a degree. The probability that Tom passes the test is 0.5, and the probability that John passes the test is 0.4. The two events are independent of each other.

Quantity A
Quantity B
The probability that both Tom and John get the degree
The probability that at least one of them gets the degree


A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Kudos for the right answer and solution.


Both of them getting the degree is 0.50*.40 = .20
The chance of either getting the degree will be P(A) + P(B) - P(AB). Which is 0.70

So clearly B is greater.
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Re: Everyone who passes the test will be awarded a degree. The p [#permalink]
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Re: Everyone who passes the test will be awarded a degree. The p [#permalink]
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