Hi,

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

P = nCx*  where p and q are the probabilities of success and failure respectively. 

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

nCx = 

 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 

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