Question

2-15. thomas has a bag with 7 green marbles, 5 blue marbles, and 4 red marbles. for each part below, if the marble selected is replaced before the next marble is drawn, find the probability for the given draw. write your answer as a fraction, as a decimal, and as a percent. homework help a. a red marble? b. a red or a green marble? c. an orange marble?

Explanation:

Step1: Calculate total number of marbles

Total marbles = 7 (green) + 5 (blue) + 4 (red)=16

Step2: Calculate probability of a red marble (a)

Probability of red = $\frac{\text{Number of red marbles}}{\text{Total number of marbles}}=\frac{4}{16}=\frac{1}{4}$
As a decimal: $\frac{1}{4}=0.25$
As a percent: $0.25\times100 = 25\%$

Step3: Calculate probability of red or green (b)

Number of red or green = 4 (red)+7 (green)=11
Probability of red or green = $\frac{11}{16}$
As a decimal: $\frac{11}{16}=0.6875$
As a percent: $0.6875\times 100 = 68.75\%$

Step4: Calculate probability of orange (c)

Since there are 0 orange marbles, probability of orange = $\frac{0}{16}=0$
As a decimal: 0
As a percent: 0%

Answer:

a. $\frac{1}{4}$, 0.25, 25%
b. $\frac{11}{16}$, 0.6875, 68.75%
c. 0, 0, 0%