Let A, B, and C be three events, such that each event has a probability of 1/2, each intersection of two has a probability of 1/4, and P[A~B~C] = 1/8. Find the probability that:

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  1. Exactly one of the event occurs
  2. none of the events occurs
  3. at least one of the events occurs
Let A, B, and C be three events, such that each event has a probability of 1/2, each
intersection of two has a probability of 1/4, and P[A~B~C] = 1/8. Find the probability
that:
Transcribed Image Text:Let A, B, and C be three events, such that each event has a probability of 1/2, each intersection of two has a probability of 1/4, and P[A~B~C] = 1/8. Find the probability that:
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