Question

In a certain experiment, a coin is tossed and this spinner is spun. Compute the probability of the event.P(heads and no blue)

Answer 1

Consider that the two events (tossing a coin and spinning a spinner) are independent and that the probability of landing on blue is equal to 1/3; thus,

$\begin{gathered} P(heads\&no-blue)=\frac{1}{2}\cdot(1-\frac{1}{3}) \\ \Rightarrow P(heads\&no-blue)=\frac{1}{2}\cdot\frac{2}{3}=\frac{1}{3} \end{gathered}$

Thus, the answer is P(heads&NoBlue)=1/3