Question

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

Answer 1

Answer:

$P=0.0625$

Step-by-step explanation:

The probability of getting one tails is a half.

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

$\frac{1}{2}*\frac{1}{2}=(\frac{1}{2})^2=\frac{1}{4}$

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

$(\frac{1}{2})^n = \frac{1}{2^n}$

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

$(\frac{1}{2})^4=\frac{1}{2^4}=\frac{1}{16}=0.0625$