math word problems, algebra homework help
math word problems, algebra homework help
1. In a race in which seven automobiles are entered and there are no ties, in how many ways can the first three finishers come in?
2. To win at LOTTO in one state, one must correctly select 7 numbers from a collection of 50
numbers (1 through 50). The order in which the selection is made does not matter. How many different selections are possible?
3. The Senate in a certain state is comprised of 53 Republicans, 46 Democrats, and 11 Independent.
How many committees can be formed if each committee must have 3 Republicans and 2
Democrats?
4. You are dealt one card from a standard 52-card deck. Find the probability of being dealt a diamond.
5. A single die is rolled twice. The 36 equally-likely outcomes are shown to the right.
Find the probability of getting two numbers whose sum exceeds 20.
6. In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through
43) and matching the number on the gold ball (1 through 34). What is the probability of winning the jackpot?
7. If you are dealt 5 cards from a shuffled deck of 52 cards, find the probability of getting two queens
and three kings.
8. A single die is rolled. Find the probability of rolling an odd number or a number less than 3.
9. The mathematics faculty at a college consists of 5 professors,12 associate professors, 11
assistant professors, and 8 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.
10. You draw one card from a 52-card deck. Then the card is replaced in the deck and the deck is shuffled, and you draw again. Find the probability of drawing an eight the first time and a spade
the second time.
11. Consider a political discussion group consisting of 5 Democrats, 4 Republicans, and 5
Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting no Independents.
12. A construction company is planning to bid on a building contract. The bid costs the company
1400. The probability that the bid is accepted is one fourth If the bid is accepted, the company will make 35,600 minus the cost of the bid.What is the expected value in this situation?
13. You are taking a multiple-choice test that has 5 questions. Each of the questions has 4
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 questions?
14. A club with fifteen members is to choose three 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 offices be filled?
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