ered 1-15, what is the probability that person 1 choosses a number strictly greater than the number of person 2? The
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If there are 4 groups that are numbered 1-15, what is the
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- A card is drawn from a pack of 52 cards. What is the probability of getting a queen card? The probability of winning the first prize in a lottery of a girl is 8/100. If the total of 6000 tickets are sold, then how many tickets the girl purchased? There are 3 blue socks, 5 brown socks, and 4 white socks in a drawer. If two socks are picked up randomly, what is the probability that the selected socks are of the same color?A four-person committee is randomly selected from a pool of 19 Americans and 131 Canadians. What is the event of selecting an American for the first person and the event of selecting an American for the second event person?From a group of 11 people, you randomly select 5 of them.What is the probability that they are the 5 oldest people in the group?
- Of 26 students in a classroom, there are 3 females that are juniors and 8 females that are seniors. There are 6 males that are juniors and 9 males that are seniors.The teacher selects a student at random. What is the probability that the student selected is neither a female nor a junior?10 students from each of Engineering, Science, Humanities, and Social Science were nominated to represent their faculties. 9 of these 40 students will be randomly chosen to be on the student council. Find the probability that at least one of the four faculties will be unrepresented on the student council.The number of girls and boys enrolled for different majors in a community college are as follows. There are a total of 535 girls and 500 boys. 150 girls and 120 boys are majoring in Biology. 100 girls and 100 boys are majoring in Chemistry. 110 girls and 130 boys are majoring in Statistics. 175 girls and 150 boys are majoring in Medicine. Construct a contingency table with this information. Select a student at random. What is the probability that the student is Chemistry major given that it is a girl?
- . Box A contains 5 red and 3 white marbles and box B contains 2 red and 6 white marbles. If a marble is drawn from each box, what is the probability that they are both of some color.If 7 different customers A, B, C, D, E, F, and G arrive for service at random order, what is the probability that customers B and E arrive before other customers?A bag contains four red marbles and ten white marbles. If a sample of three marbles contains at least one white marble, what is the probability that all the marbles in the sample are white?
- A deck consists of playing cards that can have one of 16 suits and one of 5 ranks. A hand is a set of five cards randomly selected from the deck. How many hands are a four of a kind (four cards with the same rank but different suits, and a fifth card that is a different rank from the other four)? What is the probability of the hand being a four of a kind?A high school class consists of 6 seniors, 10 juniors, 11 sophomores, and 5 freshmen. Exactly 2 of the juniors are male, and exactly 5 of the sophomores are female. If two students are randomly selected from this class, what is the probability that the pair consists of a female junior and a male sophomore?3. If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three students randomly selected for a group are all freshmen?
