Find Probability


Find the Maximum n such that the probability of getting no head in the tossing a fair coin n times is greater than 0.1


let p= probability of getting head =1/2
q=probability of getting tail= 1-p = 1/2
given that P(X=0) >0.1
i.e, nC0p0qn > 0.1
i.e, qn>0.1
replace q with 1/2,
=> (1/2)n >0.1
=> 2n<10

therefore n will be always less than 4.