Question

Suppose you place 16 green, 25 blue, and 9 yellow marbles in a non-transparent bag. you then randomize the marbles by shaking them up thoroughly. assume you then randomly select two marbles from the bag without replacement. what is the probability of selecting two blue marbles?

Answer 1

Answer: $\frac{12}{49}$

Step-by-step explanation:

16 green + 25 blue + 9 yellow = 50 Total

First pick: 25 blue out of 50 total = $\frac{25}{50} = \frac{1}{2}$

Second Pick: 24 blue out of 49 total = $\frac{24}{49}$

First Pick    AND    Second Pick

       $\frac{1}{2}$           x                $\frac{24}{49}$   =        $\frac{24}{(2)49}$      = $\frac{12}{49}$