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

What is the probability of randomly choosing a red and then a green marble (keep the red marble when you choose it)?


Sagot :

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 [tex]3/76[/tex].

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 = [tex]\frac{1}{4}[/tex]

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

= [tex]3/76[/tex]

To learn more, visit the link below:

https://brainly.com/question/22563776