91Ó°ÊÓ

In \(3-22,\) evaluate each expression. $$ 9 ! \div 8 ! $$

In \(3-6,\) find exact probabilities showing all required computation. A multiple-choice test of 10 questions has 4 choices for each question. Only one choice is correct. A student who did not study for the test guesses at each answer. a. What is the probability that that student will have exactly 5 correct answers? b. What is the probability that that student will have only 1 correct answer?

A standard deck of cards contains 52 cards divided into 4 suits. There are two red suits: hearts and diamonds, and two black suits: clubs and spades. Each suit contains 13 cards; ace, king, queen, jack, and cards numbered 2 through \(10 .\) A card is drawn from a standard deck without replacement. What is the probability that the card is a king?

For the given values of \(r\) and \(n,\) find the number of ordered selections of \(r\) objects from a collection of \(n\) objects with replacement. \(r=4, n=4\)

In \(6-9,\) write an expression using sigma notation that can be used to find each probability. At most 7 tails when 10 coins are tossed

In \(3-10,\) write the expansion of each binomial. $$ (a+3)^{4} $$

In \(7-14,\) answers can be rounded to four decimal places. The probability that our team will win a basketball game is \(\frac{2}{3} .\) What is the probability that they will win exactly 5 of the next 7 games?

In \(3-22,\) evaluate each expression. $$ \frac{10 !}{3 !} $$

In \(3-22,\) evaluate each expression. $$ _{6} P_{6} $$

Two cards are drawn from a standard deck of 52 cards without replacement. What is the probability that both cards are kings?