If the event is "a number rolled on a six-sided dice is greater than 5", then the probability of the complementary event is what?
Question
If the event is "a number rolled on a six-sided dice is greater than 5", then the probability of the complementary event is what?
Solution
The event "a number rolled on a six-sided dice is greater than 5" refers to rolling a 6, since 6 is the only number on a six-sided dice that is greater than 5.
The probability of this event is 1/6, because there is only one favorable outcome (rolling a 6) out of six possible outcomes (rolling a 1, 2, 3, 4, 5, or 6).
The complementary event is "not rolling a number greater than 5", which means rolling a 1, 2, 3, 4, or 5.
There are five favorable outcomes for this event (rolling a 1, 2, 3, 4, or 5) out of six possible outcomes.
Therefore, the probability of the complementary event is 5/6.
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