Mutually Exclusive Events: Axioms of Probability and Summation
Mutually Exclusive Events: Axioms of Probability and Summation
TGM Original
Ariel and Ben are taking part in a swimming race. There can only be one winner. The probability of Ariel winning the race is \(\frac{1}{3}\). The probability of Ben winning the race is \(\frac{1}{5}\). Find the probability that
- either Ariel or Ben wins,
- neither Ariel nor Ben wins.
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Answer:(a) \(\frac8{15}\) (b) \(\frac7{15}\)
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