SOLUTION: 7 girls names and 4 boys names are placed in a hat. One name is drawn and replaced. A second name is drawn. What is the probability that both names drawn are girls names? 1/78,

Algebra ->  Probability-and-statistics -> SOLUTION: 7 girls names and 4 boys names are placed in a hat. One name is drawn and replaced. A second name is drawn. What is the probability that both names drawn are girls names? 1/78,      Log On


   



Question 326947: 7 girls names and 4 boys names are placed in a hat. One name is drawn and replaced. A second name is drawn. What is the probability that both names drawn are girls names? 1/78, 42/121, 49/121, or 49/16
Answer by stanbon(75887) About Me  (Show Source):
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7 girls names and 4 boys names are placed in a hat. One name is drawn and replaced. A second name is drawn. What is the probability that both names drawn are girls names? 1/78, 42/121, 49/121, or 49/16
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Because the 1st draw is returned to the hat, the two events are
independent.
P(girl and girl) = P(girl)*P(girl) = (7/11)^2 = 49/121
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Cheers,
Stan H.
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