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Solving for Unknown Frequencies in Probability Sets

Solving for Unknown Frequencies in Probability Sets

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There are \(12\) girls and \(x\) boys in a group. The probability of selecting a boy randomly from the group is \(\frac{3}{7}\).

  1. Find the value of \(x\).
  2. How many more boys are needed to join the group so that the probability of selecting a boy randomly from the group will be \(\frac{5}{6}\)?

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Answer:(a) x=9; (b) 51 more boys.

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