Counting Principles; Further probability Topics and Statistics

Please show the formula, the values of the variables in the formula, and the result of the formula. In a Chinese restaurant, the menu lists 8 items in Column A and 6 items in column B. To order a dinner, the diner is told to select 3 items from column A and 2 from column B. How many dinners are possible? Suppose a family plans 6 children, and the probability that a particular child is a girl is 1/2. Find the probability that the 6 child family has exactly 2 girls. Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the probability that both cards are aces. You pay $6 to play a game where you will roll a die, with a payoff as follows: ... click for more

Probability

In class we are learning about conditional probability and independence. The question is: On a multiple-choice test you know the answers to 70% of the question (and get them right), and for the remaining 30% you choose randomly among the 5 answers. What percent of the answers should you expect to get right? What I am having a problem with is getting the problem started, I don't know how to begin to solve the problem or what to do.

Probability

The Question is: In the game of bridge, each of 4 players is dealt 13 cards. If a certain player has no aces, find the probability that that person's partner has: a.)no aces b.)at least 2 aces Now, we have done problems like this in class with 2 players and that was really complicated because we had to do combinations and such and I really do not know how to set up this problem when there are 4 players.

Probability - Bayes' Theorum

The Question is: An estimated 8% of men and O.5% of women are colorblind. If a colorblind person is selected at random, what is the probability that the person is a man? (Assume that men and women occur in equal numbers) Now if we have to solve using Bayes' Theorum, how are we supposed to set the problem up and represent them as variables?

Probability-Bayes' Theorum

The Question is: Suppose that 400 pregnant women take a home pregnancy test, and 397 of them test "positive" and the other 3 test "negative." Suppose also that 200 nonpregnant women take the test, and 184 of them test "negative" and the remaining 16 test "positive." What is the probability that a woman who tests positive is actually pregnant? Now, there is a lot of information included in this problem and I am clueless on what to do with all these numbers.