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Probability with Marbles

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

Place a unique whole number from 1 to 9 in each blank 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

Source: Erick Lee

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2 comments

  1. Bibiana Rodriguez

    Another possible correct answer is:

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

  2. Bibiana Rodriguez

    Another possible correct answer is:
    Bag A: 3 red and 6 blue; Bag B: 2 red and 4 green

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