SOLUTION: The probability of a basketball player's making a free throw successfully at any time in a game is 2/3. If the player attempts ten free throws in a game, what is the probablility

Algebra ->  Permutations -> SOLUTION: The probability of a basketball player's making a free throw successfully at any time in a game is 2/3. If the player attempts ten free throws in a game, what is the probablility       Log On


   

Question 13409: The probability of a basketball player's making a free throw successfully at any time in a game is 2/3. If the player attempts ten free throws in a game, what is the probablility that exactly six are made?
Answer by askmemath(368) About Me  (Show Source):
You can put this solution on YOUR website!
Do you know anything about Binomial Theorem or Binomial progressions??
If the player is to make only 6 throws he must fail in exactly 4.
His probability of failing in 4 is 1%2F3
So probability of making exactly 6 shots is
10C6+%282%2F3%29%5E6+%281%2F3%29%5E4