Question

A jar contains five blue marbles and two red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble. Find the probability of the following even

Both of the selected marbles are red

Answer 1

`(1)/(21) = 0.0476` probability that both marbles are red.

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Find the probability that both of the selected marbles are red

First marble: 2 red from a set of 5 + 2 = 7

Second marble: 1 red from a set of 6.

So

`p = (2)/(7)*(1)/(6) = (2)/(42) = (1)/(21) = 0.0476`

`(1)/(21) = 0.0476` probability that both marbles are red.