Question

question 2 (theoretical probability mc) joseph has a bag filled with 2 red, 4 green, 10 yellow, and 9 purple marbles. determine p(not green) when choosing one marble from the bag. 16% 48% 84% 92% question 3 (multiple choice worth 2 points) (theoretical probability lc) when tossing a two - sided, fair coin with one side colored red and the other side colored green, determine p(green). 2 1/2 red/green green/red

Explanation:

Step1: Calculate total number of marbles

Total marbles = 2 (red) + 4 (green) + 10 (yellow) + 9 (purple)=25

Step2: Calculate number of non - green marbles

Non - green marbles = 2 (red) + 10 (yellow) + 9 (purple)=21

Step3: Calculate P(not green)

P(not green)=$\frac{\text{Number of non - green marbles}}{\text{Total number of marbles}}=\frac{21}{25}=0.84 = 84\%$

For the coin - tossing problem:

Step1: Identify total possible outcomes

When tossing a two - sided coin, total possible outcomes = 2

Step2: Identify favorable outcomes for getting green

Favorable outcomes for getting green = 1

Step3: Calculate P(green)

P(green)=$\frac{\text{Favorable outcomes}}{\text{Total outcomes}}=\frac{1}{2}$

Answer:

Question 2: C. 84%
Question 3: C. $\frac{1}{2}$