Answer:
[tex]\frac{7}{15}[/tex]
Step-by-step explanation:
Given parameters:
Marbles in the bag = blue, yellow, and green
Pr(yellow) = [tex]\frac{1}{3}[/tex]
Pr(blue) = [tex]\frac{1}{5}[/tex]
Unknown:
Pr(green) = ?
Solution:
Probability is the likelihood of an event to occur;
For this problem;
Pr(yellow) + Pr(blue) + Pr(green) = 1
[tex]\frac{1}{3}[/tex] + [tex]\frac{1}{5}[/tex] + Pr(green) = 1
Pr(green) = 1 - ( [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{5}[/tex] )
Pr(green) = 1 - [tex]\frac{8}{15}[/tex]
Pr(green) = [tex]\frac{7}{15}[/tex]