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)=(1)/(2)\cdot(1-(1)/(3)) \\ \Rightarrow P(heads\&no-blue)=(1)/(2)\cdot(2)/(3)=(1)/(3) \end{gathered}`

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