A coin is tossed four times Show the sample space and find t

A coin is tossed four times. Show the sample space and find the probability of getting a simple event of three heads and one tails.

Solution

4 heads:: hhhh
3 heads:: thhh,hthh,hhth,hhht
2 heads:: tthh,htth,hhtt,htht,thth,thht
1 head::: httt,thtt,ttht,ttth

0 heads:: tttt

P(3heads and one tail) = 4/16 = 1/4