Q:

What is the probability of obtaining twotwo headsheads in a row when flipping a​ coin? Interpret this probability.

Accepted Solution

A:
Answer with explanation:→When a coin is tossed n, timesTotal Possible outcome [tex]=2^n[/tex]→When a coin is tossed twice ,Total Possible outcome =2²=4={ HH, TT, HT, TH} →Total favorable outcome , that is getting 2 heads continuously=1or , Total favorable outcome , that is getting 2 heads continuously=1→Probability of an event         [tex]=\frac{\text{Total favorable outcome}}{\text{Total possible outcome}}[/tex]    →Probability of obtaining n' heads in a row when flipping a​ coin n times       [tex]=\frac{1}{2^{n}}[/tex]→Probability of obtaining two heads in a row when flipping a​ coin two times       [tex]=\frac{1}{4}[/tex]