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 :

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.

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

[tex]\frac{15}{51}\times\frac{14}{50}=0.0812[/tex]

Now we multiply our numerators we get 210and denominators2550

[tex]\frac{210}{2550}=0.08235294117[/tex]

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

Required answer:

[tex]\frac{210}{2550}[/tex]

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