Question

You flip a coin 3 times. Let x be the number of heads you get. What is p(x=3)A.1/6B.1/2C.1/8D.1/4

Answer 1

The sample space when we toss a coin 3 times is

$\mleft\lbrace\text{HHH,HHT,HTH,THH,TTT,TTH,THT,HTT}\mright\rbrace$

SO

$\begin{gathered} p(x=3)=P\lbrace HHH\rbrace \\ =\frac{1}{8} \end{gathered}$