Question

A coin is flipped 3 times. What is the probability that it lands on tails exactly 3 times? Write your answer as a reduced fraction (numerator /denominator).

Answer 1

Note the probabilty of getting a tail when a coins is flipped 1 time is 1/2

Now for the probability when flipping a coin 3 times, the probability if the a single flipped is multiplied by itself 3 times..

Therefore, the probability of getting a tail for 3 times is :

`(1)/(2)*(1)/(2)*(1)/(2)=(1)/(8)`

The answer is 1/8

Another solution is to list down the possible outcomes :

HHH

THH

HTH

HHT

TTH

THT

HTT

TTT

There are a total of 8 outcomes.

and getting the probability of TTT over 8 outcomes is 1/8