complement

It is known that 45% of men snore an 25% of women snore. A doctor looked at these numbers and made the following statement: "If you put a man and a woman together, there is a 70% chance that someone is snoring." Explain why the doctor's math is wrong. The doctor added the percents together...

If the probability of winning is X, what is the probability of losing? (Assume there are no ties.) This means you can either win or lose. Since all probabilities in the sample space must add up to 1, then we have: P(Winning) + P(Losing) = 1 P(Losing) = 1 - P(Winning) Since P(Winning) = X, we...

Larry is rolling two dice. His dad told him that he can skip doing the dishes that night unless he rolls double sixes. What is the probability that Larry will be able to skip doing the dishes? P(6, 6) = 1/6 * 1/6 = 1/36 P(Not 6,6) = 1 - 1/36 = 35/36

If the probability of getting struck by lighting each year is 1 in 1,000,000, what is the probability that you will not be struck by lightning in one year? Our sample space is either getting struck by lightning or NOT getting struck by lightning. So we have: P(Not getting struck by lightning) =...

In rolling a die, the event E is getting a number greater than or equal to 3. What is the complement of the event? The complement E' is everything but the event. So we have: E = P(n >= 3) E' = P(n < 3)

(A^C)^C we read this as The complement of the Complement of Set A The complement of set A is anything NOT in A. But the complement of the complement is anything NOT NOT IN A. Which is just A

Given P(A) = 0.37, find P ( not A ) Not A is also written as A'. We use the formula below: P(A') = 1 - P(A) P(A') = 1 - 0.37 P(A') = 0.63

Let U be the set of all integers between −3 and 3 (including −3 and 3). Let A={−2,0,1,3}. Find Ac. Give your answer in standard set notation Ac is anything not in A, but in U. So we have: Ac = {-3, -1, 2}