Question 1159129: Two number cubes are rolled—one blue and one yellow. Explain why the events are
dependent. Then find the indicated probability.
4. The blue cube shows a 4 and the product is less than 20.
5. The yellow cube shows a multiple of 3, given that the product is 6.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Once we know the blue cube is 4, we have additional information to say what the next probability will be if the product is <20.
The overall probability is 1/6*2/3=1/9 (the four choices are 4/1-4/4). The product of the individual probabilities should be different, and it is (1/6)*28/36=7/54
Once we know the yellow cube shows a multiple of 3, given that the product is 6, we already know that 6/1 and 2/3 are not possibilities. The only two choices are 3/2 and 6/1 for a probability of 1/18. The individual probabilities are (1/6)(1/9)=1/54
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