Directions: There are _____ red marbles and _____ blue marbles in Bag A. There are _____ red marbles and _____ green marbles in Bag B.

Using the digits 1 to 9 at most one time each, fill in the boxes to make the probability of drawing a red marble from either bag the same.

Extension: Change the problem such that the number of green marbles is a two digit number.

### Hint

### Hint

How can you have a different number of red marbles but the same likelihood of selecting a red marble and both bags?

### Answer

### Answer

There are several correct answers:

Bag A: 2 red and 4 blue; Bag B: 3 red and 6 green

Bag A: 3 red and 6 blue; Bag B: 4 red and 8 green

Bag A: 1 red and 2 blue; Bag B: 4 red and 8 green

Bag A: 1 red and 3 blue; Bag B: 2 red and 6 green

Bag A: 1 red and 4 blue; Bag B: 2 red and 8 green

Bag A: 2 red and 4 blue; Bag B: 3 red and 6 green

Bag A: 3 red and 6 blue; Bag B: 4 red and 8 green

Bag A: 1 red and 2 blue; Bag B: 4 red and 8 green

Bag A: 1 red and 3 blue; Bag B: 2 red and 6 green

Bag A: 1 red and 4 blue; Bag B: 2 red and 8 green

Source: Erick Lee

Another possible correct answer is:

Bag A: 1 red and 2 blue; Bag B: 3 red and 6 green

Another possible correct answer is:

Bag A: 3 red and 6 blue; Bag B: 2 red and 4 green

One possible answer is bag a would equal 2 red And 4 blue, bag b would equal 3 red and 6 green