Question

a coin is tossed n times the maximum value of n such that the probability of getting no head is greater than 1 by 16 is​

Answer 1

Answer:

n = 3.

Step-by-step explanation:

When you toss a coin one time, chances of no heads is 1/2.

When you tolls 2 times, no head chances = 1 /4   (You have 4 options, TT, TH, HT or HH)

=> with n tosses, chances of no heads is 1/(2^n)

(1/2^n) > (1/16)

=> 2^n < 16  (when fraction inequality changes the sign reverses)

=> n < 4.

So answer is tossing 3 times, you will have more probability of no heads.