FINITE MATH

If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability of getting one queen and two kings. round to six decimal places as needed.

You are taking a multiple- choice test that has 8 questions. Each of the questions has 3 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the question?

License plates in a particular state display 2 letters followed by 5 numbers. How many different license plates can be manufactured for this state?

A stock can go up, go down, or stay unchanged. How many possibilities are there if you own 10 stocks?

A club with ten members is to choose 3 officers: president, vice-president, and secretary- treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those officers be filled?

At a benefit concert, 14 bands have volunteered to perform but there is only enough time for 7 of the bands to play. How many lineups are possible?

In 1 lottery, a player wins the jackpot all five numbers drawn from white balls (1-42) and matching the number on the gold ball (1-31). What is the probability of winning the jackpot?

You are dealt one card from a standard 52- card deck. Find the probability of being dealt a 7.

You are dealt one card from a standard 52- card deck. Find the probability of being dealt a diamond.

Six stand-up comics, A, B, C, D, E, and F, are to perform on a single evening at a comedy club. The order of performance is determined by random selection. Find the probability that:

a. Comic C will perform third.

b. Comic B will perform 5th and Comic F will perform 3rd.

c. The comedians will perform in the following order: C, B, F, A, E, D.

A box contains 15 transistors, 3 of which are defective. If 3 are selected at random, find the probability that

a. All are defective

b. None are defective.

If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are picture cards.