The probability of guessing correctly at least 8 out of 10 answers on a true-false type examination is
In the examination , we have only two option True and False.
So, The probability of getting True is , p= 1/2
And, similarly, probability of getting False is, q=1/2
The total number of Answer in examination , n=10
The probability of guessing correctly at least 8 it means r=8,9,10
We know, probability distribution P(X=r)=nCr (p)r qn-r
P(X=r)=P(r=8)+P(r=9)+P(r=10)
= 10C810C9 10C10
[45+10+1]
[
Hence, Probability is