The problem relates to Binomial probability Distribution.  Either the contraceptive will prevent   or  not prevent pregnancy.

 

Probability of preventing pregnancy (p) is 75% , Or p = ¾

And probability of no preventing is, q =1/4

 

The probability of pill preventing pregnancy in 10 women will be

 

                                                             =

 

                                                             =5

 

                                                             =0.4954

 

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