Conditional 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. From past experience we know that:

  1. The probability that team C is successful is \frac{2}{3}
  2. The probability that team N is successful is \frac{1}{2}
  3. The probability that at least one team is successful is \frac{3}{4}

Assuming that exactly one successful design is produced, what is the probability that it was designed by team N?

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