Question

Write the sample space for the experiment of tossing a coin four times.

Answer 1

Given: A coin is tossed four times

To Find: Write the sample space for the given experiment. 

Explanation: Here, The coins is tossed four time, then the no. of samples 2⁴ = 16 

So, The sample space will be 

S={HHHH, TTTT, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, HTHT, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH} 

Hence, The sample space is {HHHH, TTTT, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, HTHT, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH}