Use the formula for the probability of the complement of an event.Two dice are tossed. Let E be the event of getting a sum of at least 3.Which of the following describes the event Ec?
Question
Use the formula for the probability of the complement of an event.Two dice are tossed. Let E be the event of getting a sum of at least 3.Which of the following describes the event Ec?
Solution
The event Ec, the complement of E, describes the event of getting a sum less than 3 when two dice are tossed. Since the smallest number on a die is 1, the only way to get a sum less than 3 is if both dice show 1. Therefore, Ec is the event that both dice show 1.
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