Question

Q and R are independent events. $P\left(Q\right)=0.4$ and $P(QANDR)=0.1$. Find P(R).

Short answer

$P\left(R\right)=0.25$

Step-by-step solution

Content Introduction

Independent event are ones whose event is not contingent on the occurrence of another event.

Content Explanation

It is given that Q and R are independent events.

Therefore, P(R) can be calculated as follow:

$$\begin{gathered} P(Q\hspace{0.17em}AND\hspace{0.17em}R)=P\left(Q\right)\times P\left(R\right) \\ 0.1=0.4\times P\left(R\right) \\ P\left(R\right)=0.25 \end{gathered}$$