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4) There are two bags. The first bag contains 2 blue marbles and 1 yellow marble. The other bag contains 2 blue marbles, 1 yellow marble, and 1 red marble. You draw one marble randomly from
each bag. What is the probability that the colors match? Express your answer as a fraction in lowest terms.
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The easiest way to solve this problem is to list all the 2-marble possibilities and count the matches. There are ____ possible 2-marble combinations . Using R for red, B for blue, Y for yellow, fill out this table:
Marble from
bag 1 | Marble from
bag 2 | Pair? |
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The probability of a match is ______
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5) A red six-sided and a blue six-sided dice are rolled. What is the probability that the number on the red die is divisible the number on the blue die? Express your answer as a fraction in lowest terms.
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Well, here are the ones that are evenly divisible:
- All 6 red numbers are divisible by the same blue value:
Making ____divisibles
- All red numbers are divisible by the same blue number:
Making ___ divisibles
- A blue 2 divides evenly into ___ and ___:
Making ____ divisibles
- A blue 3 divides evenly into ___:
Making ___ divisibles
Probability = _____
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