A Company Estimates That the Probability of a Recession Occurring $\mathbf{0 . 2 5}$

Essay

A company estimates that the probability of a recession occurring in the next year is 0.4 . The company also estimates the probability that another company distributes a competing product in the next year is 0.5 . Finally, the company feels that the probability of both a recession occurring and a competing product being produced in the next year is $\mathbf{0 . 2 5}$ .
-In the situation above, let
$R=$ recession occurs during the next year and
$C=$ competing product is available in the next year.
Using an appropriate formula, determine whether the events $R$ and $C$ are independent.