Question

a bag contains 13 marbles: 5 green, 3 brown, and 5 purple. ethan draws one marble from the bag.
a. what is the probability that ethan will draw a pink marble?
b. what is the probability that ethan will draw a marble that is not green?
c. what is the probability that ethan will draw a green, brown, or purple marble?

a. the probability that ethan will draw a pink marble is
(type an integer or a fraction.)

Explanation:

Step1: Identify total marbles

Total marbles: $5+3+5=13$

Step2: Solve part a (pink marbles)

No pink marbles, so probability: $\frac{0}{13}=0$

Step3: Solve part b (not green)

Non-green marbles: $3+5=8$
Probability: $\frac{8}{13}$

Step4: Solve part c (all valid marbles)

All marbles are green/brown/purple, so probability: $\frac{13}{13}=1$

Answer:

a. $0$
b. $\frac{8}{13}$
c. $1$