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DC Public and Public Charter Schools
Reply to "High School Math Brain Teaser..."
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[quote=Anonymous]It's easier to explain if the probability is 1/3 and we work with a two-day weekend instead of a seven-day week. Think of each day as a separate pile of beans, three beans in each day, two piles of beans. In each pile there is one red bean, one blue bean, and one green been. I close my eyes and pick a bean. The probability that I pick a red bean is 1/3. From the first pile I pick a bean. Here are the beans I may have picked: red green blue Now I pick a bean from the second pile. Here are all the possible combinations of beans that I may have picked: red, red red, green red, blue green, red green, green green, blue blue, red blue, green blue, blue nine possibilities, and only one of them has two red beans. So the probability of picking a red bean on both days is 1/9, or 1/3 times 1/3. (This is an example, not a proof, but I think you can see that it would just go on and on....)[/quote]
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