Question

If you flip the five coins, and the probability of one coin being "tails" is 0.50, what is the probability of getting "tails" on all five coins?

Answer 1

Answer: 0.03125

Explanation:

We know that the probability of getting a tail , we toss a fair coin = 0.5

Given : Total number of trials = 5

Using binomial probability formula :

`P(x)=^nC_xp^x(1-p)^(n-x)`, where P(x) is the probability of getting success in x trails, n is total number of trials and p is the probability of getting success in each trial.

The probability of getting "tails" on all five coins :_

`P(x=5)=^5C_5(0.5)^5(1-0.5)^0=(1)(0.5)^5=0.03125`

Hence, the probability of getting "tails" on all five coins =0.03125