SOLUTION: Peter is a college basketball player in this years ncaa tournament. Peters team is down by 3 points. Peter is fouled, and double technical foul is called on the coach. There is not

Question 1105069: Peter is a college basketball player in this years ncaa tournament. Peters team is down by 3 points. Peter is fouled, and double technical foul is called on the coach. There is not time remaining on the clock. Peter needs to knock down three of four free throws for his team to win the game. Peter is very good with free throws. The probability that peter makes a basket is 78%. The probability of making a basket is independent from his other attempts. Although this is a pressure situation, peter is very confident and does not get rattled in pressure situations (note: there is still a 78% probability that peter makes a shot) what is the probability peter knocks down three of the four free throws, thereby the game is tied and goes into overtime.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
There are 4 ways 3 free throws can be made, so the probability is 4*0.78^3*0.22^1, since he has to miss one. Probability is 0.4176 or 0.42.
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