Addition and Multiplication Rules of Probability
Three cards are drawn with replacement from a standard deck of 52 cards. Find the the probability that the first card will be a diamond, the second card will be a red card, and the third card will be an ace. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
1/104
Three cards are drawn with replacement from a standard deck of 52 cards. Find the the probability that the first card will be a heart, the second card will be a red card, and the third card will be the six of hearts. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
1/416
A reporter for an international newspaper is given an assignment that is randomly chosen from the following destinations worldwide: 13 continental United States assignments, 7 South American assignments, 21 European Union assignments, and 5 Asian assignments. Find the probability that he gets an assignment in the United States or South America. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
10/23
A single letter from the word COMMITTEE is chosen. What is the probability of choosing a T or an E? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
4/9
A swim team consists of 5 boys and 5 girls. A relay team of 4 swimmers is chosen at random from the team members. What is the probability that 3 boys are selected for the relay team given that the first selection was a girl? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
5/42
A bag of 13 marbles contains 6 marbles with red on them, 6 with blue on them, 5 with green on them, and 5 with red and green on them. What is the probability that a randomly chosen marble has either green or red on it? Note that these events are not mutually exclusive. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
6/13
A bag of 11 marbles contains 7 marbles with red on them, 4 with blue on them, 5 with green on them, and 5 with red and green on them. What is the probability that a randomly chosen marble has either green or red on it? Note that these events are not mutually exclusive. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
7/11
Two dice are rolled. What is the probability that the sum of the numbers rolled is either 2 or 7? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
7/36
