Understanding the permutation notation of P(n, n-1).

What does P(n, n-1) mean?

Working with some identical objects using permutations and combinations.

Wing has different books to arrange on a shelf: 4 blue, 3 green, and 2 red. (a) In how many ways can the books be arranged on a shelf? (b) If books of the same color are to be grouped together, how many arrangements are possible? (c) In how many distinguishable ways can the books be arranged if books of the same color ...continues

Combinations

Five cards are chosen from an ordinary deck to form a hand in poker. In how many ways is it possible to get the following results? (a) 4 queens (b) no face card (c) exactly 2 face cards (d) 1 heart, 2 diamonds, and 2 clubs

Working with combinations to select a baseball team.

The coach of the Morton Valley Softball Team has 6 good hitters and 8 poor hitters. He chooses 3 hitters at random. (a) In how many ways can he choose 2 good hitters and 1 poor hitter? (b) In how many ways can he choose 3 good hitters? (c) In how many ways can he choose at least 2 good hitters?

Finding the probability of various bridge hands.

A bridge hand is made up of 13 cards from a deck of 52. Find the probability that a hand chosen at random contains the following. (A) Only hearts (B) Exactly 3 aces and exactly 3 kings

Combinations: Finding the probability of winning a lottery.

The numbers 1 to 99 are in a state lottery. What is the probability of picking exactly 5 of the 6 numbers correctly?

Working with binomial probability.

A die is rolled 12 times. Find the probability of rolling the following. (a) Exactly 6 ones (b) Exactly 2 ones

Working with binomial probability.

A die is rolled 12 times. Find the probability of rolling the following. (a) No more than 1 one

Working with probability distributions and expected values.

Suppose 5 apples in a barrel of 25 apples are known to be rotten. (a) Draw a histogram for the number of rotten apples in a sample of 2 apples. (b) What is the expected number of rotten apples in a sample of 2 apples?

Probability - expected value

Probability - expected value