Question

If 10 coins are tossed 100 times, how many times would you expect to get head?

Answer 1

The complete question is - If 10 coins are tossed 100 times, how many times will we to get 7 heads ?

Given:

Total number of coins = 10

Tossed = 100 times

To Find:

Times we will get 7 head

Solution:

Total number of faces = 2 = Heads and Tails.

Thus,

Binomial distribution =  (p+q)^10  where p =1/2 and q = 1/2.

If ten coins are tossed, probability of heads on seven of them = 10c7/ 2`10

= 120/1024

= 15/128

On tossing ten coins, probability that exactly seven coins do not come as heads -

= 1 - 15/128

= 128 - 15/ 128

= 113/128

Thus, expected probability will be = 100 x 15/128

1500/128

= 11.72

Answer: We can get 7 heads 12 times.