SOLUTION: What is the probability that in ten independent tosses of a fair coin we get two heads in the first four tosses and five heads altogether?
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Question 599318: What is the probability that in ten independent tosses of a fair coin we get two heads in the first four tosses and five heads altogether?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
You need 2/4 heads followed by 3/6 heads. The probabilities of these events happening are
 = {{4} \choose {2}} (\frac{1}{2})^4)
 = {{6} \choose {3}} (\frac{1}{2})^6)
Multiply these to get the answer.
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