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A die is rolled and a coin is tossed. What is the probability that a 3 will be rolled and a tail tossed?
Find the probability of each event separately, and then multiply the answers. The probability of rolling a 3 is 1/6 and the probability of tossing a tail is 1/2. To find the probability of both of them happening, multiply1/6 × 1/2 = 1/12. The probability is 1/12.
Example Multiply 3x 5 + 4x 3 + 2x - 1 and x 4 + 2x 2 + 4. The product is given by 3x 5 . (x 4 + 2x 2 + 4) + 4x 3 . (x 4 + 2x 2 + 4) + 2x .
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