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Conditional probability from a Venn diagram

Conditional probability from a Venn diagram

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A club has 60 members. The Venn diagram shows how many swim (\(S\)) and how many run (\(R\)).

  1. A member who swims is chosen at random. Find the probability that this member also runs.
  2. Given that a member chosen at random does not run, find the probability that this member swims.
  3. Given that a member chosen at random does at least one of the two activities, find the probability that this member does both.

Solution:

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Answer:(a) \(\frac{2}{5}\) (b) \(\frac{9}{14}\) (c) \(\frac{6}{25}\)

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