involving a student's attendance at math and accounting classes on Mondays. Assume that the student attends math class with probability 0.65, skips accounting class with probability 0.4, and attends...
involving a student's attendance at math and accounting classes on Mondays. Assume that the student attends math class with probability 0.65, skips accounting class with probability 0.4, and attends...
events A and B of a sample space S, but assume that Pr[A′] = 0.4, Pr[B] = 0.55, and Pr[A′∩ B] = 0.2. Find the probabilities of the following events: (1) Pr[A∩B] = (2)...
involving events E, F, and G in a sample space S. Assume that Pr[E] = 0.45, Pr[F] = 0.3, Pr[G] = 0.5, Pr[E∩F] = 0.15, Pr[E∩G] = 0.25, Pr[F∩G] = 0.1, and Pr[E∩F ∩G] = 0.05;. Find the following probabilities: (1)...
events A and B in a sample space S. Assume that Pr[A] = 0.4, Pr[B] = 0.7, and Pr[A ∩B] = 0.3. (1) Pr[B′∩A] = (2) Pr[A′∩B] = (3) Pr[A′∩B′] =
So I have 11 colors (blue, purple, pink, green , gray, white, black, brown, orange, yellow, red) and I want to know how many different combinations I could have? For example, some combinations would...
My teacher gave us six essay prompts to prepare for an upcoming exam. However, the exam will only have four of the original six listed and from those four we must choose one to write an essay about...
Assume that 12 students, including John, are working on the project report, which contains an introduction, 4 chapters, and a conclusion for a total of 6 sections. (1) In how many ways can the...
If you toss a coin 10 times and list the results (heads or tails) in order, how many different orders are possible?
For this problem, assume that 2, 6, 5, and 4 are equally likely, a 1 is three times as likely as a 4, and a 3 is four times as likely as a 1. (1) What is the value of w2? (2)...
In this version, you are to form a 4-digit number from the digits 1, 2, 3, 4, 7, 8, and 9, using each at most once. How many of these are less than 5000?
involving the sum of two die rolls. (1) What is the probability they sum to 9, 3, or 6? (2) What is the probability they sum to at least 7?
1. For this problem, assume the cooler contains 32 cans, 22 of which are regular, and the rest of which are diet. What is the probability of selecting 5 cans from the cooler so that at least 4...
For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7 subcompact cars, 6 compact cars, and 4 midsize cars. How many ways can you pick the cars so...
For this problem, assume that 2, 6, 5, and 4 are equally likely, a 1 is three times as likely as a 4, and a 3 is four times as likely as a 1. (1) What is the value of w2? (2) What is...
For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7 subcompact cars, 6 compact cars, and 4 midsize cars. How many ways can you pick the cars so not all are...
Assume that there are 15 frozen dinners: 6 pasta, 5 chicken, and 4 seafood dinners. The student selects 5 of them. What is the probability that at least 2 of the dinners selected are pasta dinners...
you are selecting three (3) coins, but assume that there are 5 dimes, 3 nickels, and 2 quarters. In how many possible ways can the selection be made so that the value of the coins is at...
Assume that there are 9 girls and 8 boys in the neighborhood club, and a team of 5 is to be selected. (1) How many different teams can be selected? (2) How many different teams can be...
student who wants to buy 3 CDs, but assume that there are 3 CDs featuring the piano, 4 CDs featuring the trumpet, and 5 CDs featuring the saxophone. (1) In how many different ways can...
Your urn contains 7 red balls, and 9 blue balls, and you draw 4 balls.