The probability of randomly choosing a green marble after you have chosen red is 3/68.
Given
A jar has 20 marbles: 3 green, 12 blue, 5 red.
Probability;
In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.
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
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 green marble after you have chosen red is;
[tex]\rm=\dfrac{5}{20}\times \dfrac{3}{19}\\\\=\dfrac{1}{4}}\times \dfrac{3}{19}\\\\ = \dfrac{3}{68}[/tex]
Hence, the probability of randomly choosing a green marble after you have chosen red is 3/68.
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