A drawer contains 6 red socks, 4 green socks, and 2 black socks. Two socks are chosen at random. What is the probability that they match?

Your sock drawer contains 6 blue socks, 8 black socks, and 10 white socks. It is dark and you are getting dressed. What is the probability that you will randomly pick a pair of socks that match?

Charlie has 13 socks in his drawer, 7 blue and 6 green. He selects 5 socks at random. Find the probability that he gets

Two blue socks and three green socks

A drawer is filled with red, blue, and green socks. Marta wants to find the theoretical probability of randomly choosing a red sock and then randomly choosing a second red sock. Under what circumstances will these events be dependent? Under what circumstances will they be independent?

Solve by using the strategy Consider Extreme Cases. A drawer holds 4 blue socks, 6 black socks, and 6 brown socks. How many socks must be randomly pulled from the drawer in order to be sure of obtaining two brown socks?

Charlie has 13 socks in his drawer, 7 blue and 6 green. He selects 5 socks at random. Find the probability that he gets

Two blue socks and three green socks, or three blue socks and two green socks

A computer password consists of eight characters. a. How many different passwords are possible if each character may be any lowercase letter or digit? b. How many different passwords are possible if each character may be any lowercase letter or digit, and at least one character must be a digit? c. A computer system requires that passwords contain at least one digit. If eight characters are generated at random, and each is equally likely to be any of the 26 letters or 10 digits, what is the probability that a valid password will be generated?

Determine the following for a q-curve with parameters $\kappa=8$ and v=20. a. The q-value having area 0.01 to its right b. $q _{0.05}$

A test consists of 15 questions. Ten are true-false questions, and five are multiple-choice questions that have four choices each. A student must select an answer for each question. In how many ways can this be done?

In horse racing, one can make a trifecta bet by specifying which horse will come in first, which will come in second, and which will come in third, in the correct order. One can make a box trifecta bet by specifying which three horses will come in first, second, and third, without specifying the order. a. In an eight-horse field, how many different ways can one make a trifecta bet? b. In an eight-horse field, how many different ways can one make a box trifecta bet?

Let S be the event that a randomly selected college student has taken a statistics course, and let C be the event that the same student has taken a chemistry course. Suppose P(S) = 0.4, P(C) = 0.3, and $P(S \cap C)=0.2.$ a. Find the probability that a student has taken statistics, chemistry, or both. b. Find the probability that a student has taken neither statistics nor chemistry. c. Find the probability that a student has taken statistics but not chemistry.

What gland is the only one that stores its hormones for later use?

How many different seven-digit telephone numbers can be formed if the first digit cannot be zero?

A group of 18 people have gotten together to play baseball. They will divide themselves into two teams of 9 players each, with one team wearing green uniforms and the other wearing yellow uniforms. In how many ways can this be done?