(supposedly) Elementary probability:
A conservative design team, call it C, and an innovative design team, call it N, are asked to separately design a new product within a month. We know from past experience that:
(a) The probability that team C is successful is 2/3
(b) The probability that team N is successful is 1/2
(c) The probability that at least one team is successful is 3/4
Assume that exactly one successful design is produced. What is the probability that it was produced by team N?

-Note: the answer is given in the book, but I want to see a different working.

Question

(supposedly) Elementary probability:
A conservative design team, call it C, and an innovative design team, call it N, are asked to separately design a new product within a month. We know from past experience that:
(a) The probability that team C is successful is 2/3
(b) The probability that team N is successful is 1/2
(c) The probability that at least one team is successful is 3/4
Assume that exactly one successful design is produced. What is the probability that it was produced by team N?

-Note: the answer is given in the book, but I want to see a different working.

turingtest · Answer

It's not multiple choice.

anonymous · Answer

LOL, oh ok

turingtest · Answer

so basically you just copied the results of the book in what you posted as your solution?

turingtest · Answer

ok, so to reiterate, I'd like to see a *fully worked* solution involving conditional probability, not a reference to something.

anonymous · Answer

K

turingtest · Answer

I deleted your post so as not to corrupt those who don't know how to solve it, but that solution wasn't justified anyway.

anonymous · Answer

K

hartnn · Answer

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similarly find P (only C)