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