Question

Given 5 consecutive tosses of a (fair) coin: What is the probability of first getting three tails in a row, followed by two consecutive heads

Answer 1

3/8

Explanation:

This is simple probability and we have to divided the possible outcomes by total outcomes.

The sample space is given by 2 raises to power n where n is the number of tosses .

Here we have 5 tosses .

The Sample Space is 2⁵.

The possible arrangement of three tails would be 3!

The possible ways of arranging 2 Heads would be 2!

We want to find the probability of 3 tails and 2 heads

Therefore

P (3 tails and 2 heads ) = 3! 2!/ 2⁵

=2* 6/ 2⁵= 12/32= 6/16= 3/8