If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is__________?
Correct answer: B. 1/2
- A. 1/4
- B. 1/2
- C. 3/4
- D. 3/5
Explanation
Each die has 3 even and 3 odd faces, so the chance of an even-odd arrangement is (1/2 x 1/2) + (1/2 x 1/2) = 1/2, allowing for either die to be even. The likely mistake is choosing 1/4, which counts only the case where the first die is even and the second is odd, ignoring the reverse arrangement.
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Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.
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