Answer:
Given:
- 9 red marbles
- 8 blue marbles
- 12 green marbles
⇒ total marbles = 9 + 8 + 12 = 29
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Part (a)
[tex]\sf P(green)=\dfrac{12}{29}[/tex]
Part (b)
[tex]\sf P(red)=\dfrac{9}{29}[/tex]
[tex]\sf P(green)=\dfrac{12}{29}[/tex]
[tex]\implies \sf P(red)\:or\:P(green)=\dfrac{9}{29}+\dfrac{12}{29}=\dfrac{21}{29}[/tex]
Part (c)
[tex]\begin{aligned}\sf P(not\:red)&= \sf1-P(red)\\ & = \sf 1-\dfrac{9}{29}\\ & = \sf\dfrac{20}{29}\end{aligned}[/tex]
