Question

What is the probability of getting tails 4 times in a row while flipping a coin?

Answer 1

`P=0.0625`

Explanation:

The probability of getting one tails is a half.

The probability of getting another tails given you had a tails is:

`(1)/(2)*(1)/(2)=((1)/(2))^2=(1)/(4)`

The probability of getting n tails in general is given by:

`((1)/(2))^n = (1)/(2^n)`

So, when we have four tails - our value for n is four.

`((1)/(2))^4=(1)/(2^4)=(1)/(16)=0.0625`