60 students in your class are going to be split into 5 scribing teams of 12....
60 students in your class are going to be split into 5 scribing teams of 12. Unknown to all of you is there is A whom both B and C fancy. If we pick the teams at random (instead of alphabetically), how many different ways will
(i) both B and C land up with A in the same team,
(ii) neither B or C land up in a team with A,
(iii) exactly one of B and C lands up with A on a team?
Homework Answers
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60 students in your class are going to be split into 5 scribing
teams of 12....
Problem 53 (modified): 60 students in your class are going to be split into 5 scribing...
Problem 53 (modified): 60 students in your class are going to be split into 5 scribing teams of 12. Unknown to all of you is there is A whom both B and C fancy. If we pick the teams at random (instead of alphabetically), how many different ways will (i) both B and C land up with A in the same team, (ii) neither B or C land up in a team with A, (iii) exactly one of B and...
Problem 53 (modified): 60 students in your class are going to be split into 5 scribing...
Problem 53 (modified): 60 students in your class are going to be split into 5 scribing teams of 12. Unknown to all of you is there is A whom both B and C fancy. If we pick the teams at random (instead of alphabetically), how many different ways will (i) both B and C land up with A in the same team, (ii) neither B or C land up in a team with A, (iii) exactly one of B and...
3 Problem 53 (modified): 60 students in your class are going to be split into 5...
3 Problem 53 (modified): 60 students in your class are going to be split into 5 scribing teams of 12. Unknown to all of you is there is A whom both B and C fancy. If we pick the teams at random (instead of alphabetically), how many different ways will (i) both B and C land up with A in the same team, (ii) neither B or C land up in a team with A, (ii) exactly one of B...
The class registrations of 100 students are analyzed. It is found that 50 students study Applied...
The class registrations of 100 students are analyzed. It is found that 50 students study Applied Mechanics, 45 study Chemistry, and 15 studied both Applied Mechanics and Chemistry. (a) If one of these students is selected at random, find the probability that i. the student took applied mechanics or chemistry. ii. the student did not take either of these subjects. iii. the student took chemistry but not applied mechanics. (b) Are studying Applied Mechanics and studying Chemistry mutually exclusive events?...
4&5 (b) at most a total of 4. 4. The class registrations of 100 students are...
4&5
(b) at most a total of 4. 4. The class registrations of 100 students are analyzed. It is found that 50 students study Applied Mechanics, 45 study Chemistry, and 15 studied both Applied Mechanics and Chemistry (a) If one of these students is selected at random, find the probability that i. the student took applied mechanics or chemistry. ii. the student did not take either of these subjects. iii. the student took chemistry but not applied mechanics. (b) Are...
4 and 5 please 4. The class registrations of 100 students are analyzed. I is found...
4 and 5 please
4. The class registrations of 100 students are analyzed. I is found that 50 students study Applied Mechanics, 45 study Chemistry, and 15 studied both Applied Mechanics and Chemistry (a) If one of these students is selected at random, find the probability that i the student took applied mechanics or chemistry ii. the student did not take either of these subjects iii. the student took chemistry but not applied mechanics (b) Are studying Applied Mechanics and...
3. Suppose there are 100 students in your accounting class, 10 of whom are left-handed. Two...
3. Suppose there are 100 students in your accounting class, 10 of whom are left-handed. Two students are drawn at random. Draw the probability tree and insert the probability for each branch. a. What is the probability of the following events? b. Both are right-handed? c. Both are left-handed? d. One is right-handed and the other is left-handed? At least one is right-handed? oo b е. 4 Suppose you flip eight fair coins. What is the probability of flipping exactly...
1. The probabilities that two students show up for class are 0.75 and 0.80 respectively Find...
1. The probabilities that two students show up for class are 0.75 and 0.80 respectively Find the probability that: (a) Both show up for class? (b) Neither show up for class? (c) Exactly one shows up for class? (d) At least one shows up for class? 2. I rolled a pair of dice. What is the probability that I rolled: (a) A sum of 6 or a sum of 11? (b)A sum of 7 or doubles? 3. Consider a standard...
In a class of 120 students, 60 take english, 50 take spanish, 20 take both english...
In a class of 120 students, 60 take english, 50 take spanish, 20 take both english and spanish. A student is selected at random, what is the probability that the student : a) takes english. b) takes both english and spanish. c) takes only spanish. d) neither takes english nor spanish. e) does not take english. f) takes english and spanish but not both.
6. Suppose a small elementary school class has 12 students, and the teacher has 20 pieces...
6. Suppose a small elementary school class has 12 students, and the teacher has 20 pieces of chocolate to give out. How many ways can the teacher distribute all the chocolate to the class if (15 points) (No need to calculate / simplify the result, just set up) a) there are no restrictions? b) each child must get at least one piece of chocolate? c) a certain child is to receive exactly 2 pieces of chocolate?
Problem 53 (modified): 60 students in your class are going to be split into 5 scribing teams of 12. Unknown to all of you is there is A whom both B and C fancy. If we pick the teams at random (instead of alphabetically), how many different ways will (i) both B and C land up with A in the same team, (ii) neither B or C land up in a team with A, (iii) exactly one of B and...
Problem 53 (modified): 60 students in your class are going to be split into 5 scribing teams of 12. Unknown to all of you is there is A whom both B and C fancy. If we pick the teams at random (instead of alphabetically), how many different ways will (i) both B and C land up with A in the same team, (ii) neither B or C land up in a team with A, (iii) exactly one of B and...
3 Problem 53 (modified): 60 students in your class are going to be split into 5 scribing teams of 12. Unknown to all of you is there is A whom both B and C fancy. If we pick the teams at random (instead of alphabetically), how many different ways will (i) both B and C land up with A in the same team, (ii) neither B or C land up in a team with A, (ii) exactly one of B...
4&5
(b) at most a total of 4. 4. The class registrations of 100 students are analyzed. It is found that 50 students study Applied Mechanics, 45 study Chemistry, and 15 studied both Applied Mechanics and Chemistry (a) If one of these students is selected at random, find the probability that i. the student took applied mechanics or chemistry. ii. the student did not take either of these subjects. iii. the student took chemistry but not applied mechanics. (b) Are...
4 and 5 please
4. The class registrations of 100 students are analyzed. I is found that 50 students study Applied Mechanics, 45 study Chemistry, and 15 studied both Applied Mechanics and Chemistry (a) If one of these students is selected at random, find the probability that i the student took applied mechanics or chemistry ii. the student did not take either of these subjects iii. the student took chemistry but not applied mechanics (b) Are studying Applied Mechanics and...
3. Suppose there are 100 students in your accounting class, 10 of whom are left-handed. Two students are drawn at random. Draw the probability tree and insert the probability for each branch. a. What is the probability of the following events? b. Both are right-handed? c. Both are left-handed? d. One is right-handed and the other is left-handed? At least one is right-handed? oo b е. 4 Suppose you flip eight fair coins. What is the probability of flipping exactly...
1. The probabilities that two students show up for class are 0.75 and 0.80 respectively Find the probability that: (a) Both show up for class? (b) Neither show up for class? (c) Exactly one shows up for class? (d) At least one shows up for class? 2. I rolled a pair of dice. What is the probability that I rolled: (a) A sum of 6 or a sum of 11? (b)A sum of 7 or doubles? 3. Consider a standard...
6. Suppose a small elementary school class has 12 students, and the teacher has 20 pieces of chocolate to give out. How many ways can the teacher distribute all the chocolate to the class if (15 points) (No need to calculate / simplify the result, just set up) a) there are no restrictions? b) each child must get at least one piece of chocolate? c) a certain child is to receive exactly 2 pieces of chocolate?
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