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If the probability that Mike will miss at least one of the t
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06 May 2019, 12:23
06 May 2019, 12:23
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If the probability that Mike will miss at least one of the ten jobs assigned to him is 0.55, then what is the probability that he will do all ten jobs?
(A) 0.1
(B) 0.45
(C) 0.55
(D) 0.85
(E) 1
(A) 0.1
(B) 0.45
(C) 0.55
(D) 0.85
(E) 1
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If the probability that Mike will miss at least one of the t
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02 Apr 2020, 08:13
02 Apr 2020, 08:13
Carcass wrote:
If the probability that Mike will miss at least one of the ten jobs assigned to him is 0.55, then what is the probability that he will do all ten jobs?
(A) 0.1
(B) 0.45
(C) 0.55
(D) 0.85
(E) 1
(A) 0.1
(B) 0.45
(C) 0.55
(D) 0.85
(E) 1
When it comes to probability questions involving at least, it's best to consider using the complement.
That is, P(Event A happening) = 1 - P(Event A not happening)
So, here we get: P(missing AT LEAST one job) = 1 - P(not missing AT LEAST one job)
What does it mean to not miss at least one job?
It means missing ZERO jobs.
Or we can say that it means doing ALL 10 jobs.
So, we can write: P(missing AT LEAST one job) = 1 - P(doing all 10 jobs )
Substitute to get: 0.55 = 1 - P(doing all 10 jobs )
Solve to get: P(doing all 10 jobs ) = 0.45
Answer: B
Cheers,
Brent
Re: If the probability that Mike will miss at least one of the t
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12 Jul 2024, 08:49
12 Jul 2024, 08:49
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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