SOLUTION: Two representatives are chosen at random from a group of 180 students that has 90 girls and 90 boys. What is the probability that the representatives selected are either both boys

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Question 1137492: Two representatives are chosen at random from a group of 180 students that has 90 girls and 90 boys. What is the probability that the representatives selected are either both boys or both girls?
Answer by ikleyn(52781) About Me  (Show Source):
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The probability to select 2 boys is  P(b,b) = %2890%2F180%29%2A%2889%2F179%29 = %281%2F2%29%2A%2889%2F179%29


The probability to select 2 girls is  P(g,g) = %2890%2F180%29%2A%2889%2F179%29 = %281%2F2%29%2A%2889%2F179%29.


The probability under the question is


    P = P(b,b) + P(g,g) = 89%2F179.      ANSWER