Question

An experiment consists of four tosses of a coin. Denoting the outcomes HHTH, THTT, ….and assuming that all 16 outcomes are equally likely, find the probability distribution for the total number of heads.

Answer 1

The sample space for the above situation is:

HHHH      THHH

HHHT      THHT

HHTH      THTH  

HHTT      THTT  

HTHH      TTHH

HTHT      TTHT  

HTTH      TTTH  

HTTT       TTTT

So, total no. of heads = 32

so probability of getting  head = 32/64

                                                  = 1/2