9. Out of 14 employees in a company, 8 are in the accounting department and 6 belong to the administration department. If 4 of the employees are part of both departments, what is the probability that an employee chosen at random is part of either of the department?
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A: Here, P(Engineering |Group 1)=3/8 P(Group 1) =2/6 P(Engineering |Group 2)=5/8 P(Group 2) =4/6
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A:
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Q: suppose that a school has 10 courses offered, 3 of which are engineering major, 5 are philosophy…
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- If a classroom of 32 students has 7 males (5 of who are single and 2 who are married) and 25 females (7 who are single and 18 who are married), what is the probability of selecting a single female randomly?There are 400 seniors in highschool, of which 180 are males. It is known that 85% of the males and 70% of the females have their driver's license. If a student is selected at random from this senior class, what is the probability that the student is: - A male and has a driver's license - A female and has a driver's licenseA bowl contains 12 red balls and 8 white balls. If two balls are selected randomly then what is the probability that the first one is red and second one white?
- 12 female and 7 male students take Mathematics course. While 3 of the female students do not have a brother or sister, 2 of the male students are the only child in the house. What is the probability that a randomly selected student from this group is a student with a sibling?Of the students who registered for the statistical teaching assistant, 75 percent came from the economics department, 19 percent came from the Islamic economics department, and 6 percent came from the accounting department. Students who did not pass 94 percent of the economics major, 95 percent of the Islamic economics major, and 96 percent of the accounting major, the rest were students who passed. If 1 student passes, b. What is the probability that the student is from the economics major?A committee of two people is to be chosen from five women and 4 men. What is the probability at least one man was chosen give him at least one woman was chosen?
- If I have a bag with 3 red, 4 white, 1 green, and 2 blue marble. What is the probability that I choose and keep a red marble and then pick a blue marble?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?If 5 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that at most 2 of them will be face cards?
- A stack of 9 red cards and 14 green cards is shuffled and placed on a table. The cards are distinguished from each other by a number that has been written on each one. What is the probability of randomly selecting 5 red and 5 green cards from this stack.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.Of the students who registered for the statistical teaching assistant, 75 percent came from the economics department, 19 percent came from the Islamic economics department, and 6 percent came from the accounting department. Students who did not pass 94 percent of the economics major, 95 percent of the Islamic economics major, and 96 percent of the accounting major, the rest were students who passed. If 1 student passes, a. What is the probability that the student is from the Islamic economics department?