A sports camp specializes in three different types of sports during the summer.  Out of their  86 members, 73 participated in at least one of the three sports.  44 people went swimming, 36 people went biking and 19 participated in yoga. 14 people went biking and swimming 11 went biking and yoga and 9 people went swimming and to yoga.  Calculate the probability for each given event. A randomly selected member went biking, given they did not go swimming.   A randomly selected member did not go biking, given they did not go the yoga.   A randomly selected member did not go swimming, given they did at least two activities

Question

A sports camp specializes in three different types of sports during the summer.  Out of their  86 members, 73 participated in at least one of the three sports.  44 people went swimming, 36 people went biking and 19 participated in yoga. 14 people went biking and swimming 11 went biking and yoga and 9 people went swimming and to yoga.  Calculate the probability for each given event.

  1. A randomly selected member went biking, given they did not go swimming.

 

  1. A randomly selected member did not go biking, given they did not go the yoga.

 

  1. A randomly selected member did not go swimming, given they did at least two activities

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