How many marbles of each color am i going to put in the bag?

Question

I want the theoretical probability of drawing a red marble to be 1/2, the theoretical probability of drawing a yellow to be 1/2, and the theoretical probability of drawing a purple to be 1/6. If i want a total of 1,260 marbles in the bag:

a. How many red marbles am i going to put in the bag? Why?

b. How many yellow marbles am i going to put in the bag? Why?

c. How many purple marbles am i going to put in the bag? Why?

Answer 1

The probabilities cannot exceed 100% in total. Did you perhaps mean 1/2, 1/3 and 1/6 respectively? Assuming so, then:

1260/2 = 630 red

1260/3 = 420 yellow

1260/6 = 210 purple