Question

Suppose a jar contains 15 red marbles and 36 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red.

Answer 1

Given:

15 red marbles and 36 blue marbles.

Required:

pull out 2 marbles at random at the same time, find the probability that both are red.

Step-by-step explanation:

15+36=51 marbles in total.

At our first pull, there is an 15/51 chance that a red will be pulled--the number of red out of the total number.

At the second pull there is a 14/50 chance that the second marble will be red as well--how many red/total are still in there.

From here, we multiply our two fractions together:

We get

`(15)/(51)*(14)/(50)=0.0812`

Now we multiply our numerators we get 210and denominators2550

`(210)/(2550)=0.08235294117`

When we divide, we get about 0.08235294117 or = 8.235294117%

Required answer:

`(210)/(2550)`