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At Least One Probability Condition

$P = 1 - Q$

P = probability for the event to occur at least once
Q = probability for the event to totally fail
See also Complementary Probability

Probability: A Family of Five Children

Problem
A family chosen at random has 5 children. What is the probability that...

  1.   all are girls or all are boys?
  2.   there are 3 boys and 2 girls?
  3.   at least 1 is a boy?

 

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