Question

A container holds 13 red marbles, 9 blue marbles, and 16 green marbles. You will randomly select two marbles without replacement.

-How many ways can you select the marbles?
-How many ways can you select exactly 1 blue marble?
-What is the probability that you select 2 red marbles?
-What is the probability that you select a green marble and then a red marble?

Answer 1

how many marbles total?

Answer 2

38

Answer 3

the number of ways you can choose 2 from a set of 38 is \(\binom{38}{2}\) sometimes written as \(_{38}C_2\) and computed via
\[\binom{38}{2}=\frac{38\times 37}{2}\]

Answer 4

So 703 would be the number of ways you can select them?