Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

A fair coin is tossed 100 times. What is the probability that more than 55 heads are observed?

Sagot :

Let us say T= probability of head turning up = 1/2  in one toss
H = probability of a tail turning up  = 1/2  in one toss

Then P (56 heads or more) =
           1/2^100 [ C(100,56) + C(100,57) + C(100,58) + ....
                         C(100,98) + C(100,99) + C(100,100) ]

   where C(N, R)  =  N ! / [ (N - R)! R! ]    number of occurrances of R formed from
                             N tosses.


[tex]P(A)=\frac{100-55}{100}=\frac{45}{100}=\frac{9}{20}[/tex]