Question

A jar has 20 marbles: 3 green, 12 blue, 5 red.

Answer 1

Probability is defined as the likelihood or the certainty that an event is going to occur or happen.

The probability of randomly choosing a red and then a green marble is $3/76$.

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

In simplest fraction form = $\frac{1}{4}$

We are told in the question that you keep the red marble you choose, So this means the total number of marbles left reduces to 19

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore, the probability of randomly choosing a red and then a green marble is

P (Red) x P(Green)

= 1/4  x 3/19

= $3/76$

To learn more, visit the link below:

brainly.com/question/22563776