SOLUTION: the probability that a certain pitcher will throw a strick is .75. what is the probability that he will strick a batter out in three pitches. What is the probability that it ta

Algebra ->  Probability-and-statistics -> SOLUTION: the probability that a certain pitcher will throw a strick is .75. what is the probability that he will strick a batter out in three pitches. What is the probability that it ta      Log On


   

Question 464672: the probability that a certain pitcher will throw a strick is .75. what is the probability that he will strick a batter out in three pitches.
What is the probability that it takes him four pitches to strick the batter out?
What is the probability that he walks the batter?
Found 2 solutions by jorel1380, ewatrrr:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Three pitches:.75x.75x.75=.421875
Four pitches:.25x(.75)^3=.10546875
Walking the batter:.25x.25x.25x.25=.00390625
That's on 4 straight pitches, to walk on a full count:
.00390625x.75x.75=.002197265

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Note: The probability of x successes in n trials is: 

P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively. 

In this case p = .75 & q = .25

nCx = n%21%2F%28x%21%28n-x%29%21%29

 P(3 strikes in 3 pitches) = 3C3 (.75)^3 = .75^3 = .4219

 P(3 strikes in 4 pitches) = 4C3(.75)^3*.25 = 4*(.75)^3*.25 = .4219 

 P(0 strikes in 4 pitches) = 4C0 (.25)^4 = .0039