SOLUTION: A basketball player makes free throws with a 0.65 probability. What is the probability that the player will make at least 2 of the next 3 free throws?
Algebra.Com
Question 669875: A basketball player makes free throws with a 0.65 probability. What is the probability that the player will make at least 2 of the next 3 free throws?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The probability of 
successes in 
trials where 
is the probability of success on any given trial is given by:
\ =\ {{n}\choose{k}}\left(p\right)^k\left(1\,-\,p\right)^{n\,-\,k})
Where 
is the number of combinations of things taken at a time and is calculated by !})
There are 4 different things that could happen when he shoots three shots. He could make 0, or 1, or 2, or 3. The probability of at least 2 is the probability of exactly 2 plus the probability of exactly 3.
So you need to calculate:
\ =\ P_3(2,0.65)\ +\ P_3(3,0.65)\ =\ {{3}\choose{2}}\left(0.65\right)^2\left(1\,-\,0.65\right)^{3\,-\,2}\ +\ {{3}\choose{3}}\left(0.65\right)^3\left(1\,-\,0.65\right)^{3\,-\,3})
Get out your calculator and have fun.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
A basketball player makes free throws with a 0.7 probability. What is the probability... (answered by stanbon)
a basketball player makes 70% of the free throws he shoots. if he tries 13 throws what is (answered by ewatrrr,htmentor)
The probability that a basketball player makes his free throws is 0.7. What is the... (answered by Solver92311)
The probability that a basketball player makes his free throws is 0.7. What is the... (answered by CPhill)
A basketball player makes 73% of her free throws. Find the probability that she will... (answered by Fombitz)
a basketball player shoots free throws and makes them with probability 1/7. what is... (answered by Fombitz)
The probability that a player makes a free throw is 0.60. In 3 free throws, find the... (answered by ewatrrr)
A basketball player has a 50% chance of making each free throw. What is the probability... (answered by 41 years)
Suppose a basketball player is an excellent free throw shooter and makes 97% of his free... (answered by schmidtmomto6)
