# Statistics: Probability

1) A container contains 3 slips of paper numbered 1, 2, and 3 respectively. A slip is randomly selected and replaced and then another slip is randomly selected. If A is the event that the same number is drawn each time, how many outcomes are in the event not A?

2) If you rolled a die. What would be the probability that a 1 or 3 is rolled?

3) If a coin is tossed and a die is rolled, what is the probability that a tails is tossed and a 5 is rolled?

4) A survey was taken to see whether males or females are more likely to wear safety belts. The survey consisted of 1,000 males and 1,000 females

Wears seat belt Male Female Total

Yes 824 681 1505

No 176 319 495

Total 1,000 1,000 2,000

a) Given that the respondent wears a seat belt, what is the probability that the person is a Male?

b) Given that the respondent is a Male, what is the probability that he wears a seatbelt?

c) Are the two events from a) and b) statistically independent?

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