The probability of pulling out a red marble, then a green, and then a blue is 0.01306 or 1.306%
It is given that in the marble jar has 35 total balls in which red balls are 7, green balls are 10, and blue balls are 8.
It is required to find the probability of pulling out a red marble, then a green, and then a blue.
What is a probability?
It is defined as the branch in the mathematics that calculate happenings of something or events in a numerical form.
We have,
Total balls = 35
Red balls = 7
Green balls = 10
Blue balls = 8
We know the formula for finding the probability is:
[tex]\rm Probability = \frac{Favourable \ outcome}{Total \ outcome}[/tex]
Probability of pulling out a red marble, then a green, and then a blue:
P(red then green then blue with return) [tex]=\rm \frac{7}{35} \times\frac{10}{35} \times\frac{8}{35}[/tex]
P(red then green then blue with return) [tex]=\rm \frac{560}{42875} \\[/tex]
P(red then green then blue with return) [tex]\rm =0.01306 \ or \ 1.306 \ \%[/tex]
Thus, the probability of pulling out a red marble, then a green, and then a blue is 0.01306 or 1.306%
Learn more about the probabilty here:
https://brainly.com/question/9222285
