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counting and probability intermediate
Problem
Twenty tiles are numbered 1 through 20 and are placed into box . Twenty other tiles numbered 11 through 30 are placed into box . One tile is randomly drawn from each box. What is the probability that the tile from box is less than 15 and the tile from box is either even or greater than 25? Express your answer as a common fraction.
Solution
Since the two events are independent, we consider each separately. The probability of the tile from A being less than 15 is equal to . The probability of a tile from B being even or greater than 25 is . So we multiply the probabilities for the independent events, giving us probability .
Final answer
\frac{21}{50}