91Ó°ÊÓ

For the given values of \(r\) and \(n,\) find the number of ordered selections of \(r\) objects from a collection of \(n\) objects without replacement. \(r=4, n=4\)

What is the probability of getting a 2 on a single throw of a fair die?

In \(3-10,\) write the expansion of each binomial. $$ (x+y)^{6} $$

In \(3-5,\) find exact probabilities showing all required computation. Five fair coins are tossed. Find the probability of the coins showing: \(\begin{array}{ll}{\text { a. at least four heads }} & {\text { b. at least three heads }} \\ {\text { c. at least two heads }} & {\text { d. at least one head }}\end{array}\)

In \(3-22,\) evaluate each expression. $$ 12 ! $$

In \(3-10,\) write the expansion of each binomial. $$ (x+y)^{7} $$

In \(3-6,\) find exact probabilities showing all required computation. A fair die is tossed five times. What is the probability of tossing a \(6 :\) $$ \begin{array}{llll}{\text { a. exactly once? }} & {\text { b. exactly twice? }} & {\text { c. exactly three times? }} \\ {\text { d. exactly four times? }} & {\text { e. exactly five times? }} & {\text { f. zero times? }}\end{array} $$ g. Which is the most likely event(s) when tossing a die five times?

For the given values of \(r\) and \(n,\) find the number of ordered selections of \(r\) objects from a collection of \(n\) objects without replacement. \(r=4, n=5\)

What is the probability of getting a number greater than 2 on a single throw of a fair die?

In \(3-5,\) find exact probabilities showing all required computation. Three fair dice are tossed. Find the probability of the dice showing: \(\begin{array}{ll}{\text { a. at most one } 6} & {\text { b. at most two } 6 \text { s }} \\ {\text { c. at least two } 6^{\prime} \mathrm{s}} & {\text { d. at least one } 6}\end{array}\)