Probability Practice Test

Two dice, one red and one blue, are altered. The red die comes up a "1" $\frac{1}{4}$ of the time and a "2" $\frac{1}{4}$ of the time, and the blue die comes up a "1" $\frac{2}{7}$ of the time and a "2" $\frac{1}{7}$ of the time. What are the odds against rolling a "2", a "3", or a "4" with the two dice?

A penny is altered so that the odds are 5 to 4 against it coming up tails when tossed; a nickel is altered so that the odds are 4 to 3 against it coming up tails when tossed. If both coins are tossed; what are the odds of there being one head and one tail?

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