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Finite Math. Section 8.3 Probability Applications of Counting Principles. 2. A box has 1 red, 2 green and 3 white marbles. Two marbles are drawn. What is the probability of drawing one green and one white marble? (Use tree diagram or combination formula). .2 .4 .6 .8 1.0.
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Finite Math Section 8.3 Probability Applications of Counting Principles
2. A box has 1 red, 2 green and 3 white marbles. Two marbles are drawn. What is the probability of drawing one green and one white marble? (Use tree diagram or combination formula) • .2 • .4 • .6 • .8 • 1.0
3. A shipment of 8 typewriters contains 3 that are defective. Find the probability that a sample of 2 does NOT contain a defective typewriter. • 3/28 • 5/28 • 9/28 • 5/14
4. A shipment of 8 typewriters contains 3 that are defective. Find the probability that a sample of 3 does NOT contain a defective typewriter. • 3/28 • 5/28 • 9/28 • 5/56
5. A box contains the five letters CHAIR. What’s the probability of drawing the letters HR, in that order, if 2 letters are drawn with replacement? • 1/25 • 2/25 • 1/20 • 1/10
6. A box contains the five letters CHAIR. What’s the probability of drawing the letters HR, in that order, if 2 letters are drawn without replacement? • 1/25 • 2/25 • 1/20 • 1/10
7. A drawer in a dark bedroom contains 9 black, 6 red and 2 green socks. What’s the probability that you grab 2 red socks? • 15/136 • 17/136 • 30/136 • 13/34
8. A drawer in a dark bedroom contains 9 black, 6 red and 2 green socks. What’s the probability that you grab 2 socks of the same color? • 15/136 • 17/136 • 30/136 • 13/34 • 25/68
9. You have 6 envelopes to pick from. 4 are empty. 2 contain a $100 bill. You are told to choose 2 envelopes. Which is more likely? • You get at least one $100 bill. • You get no $100 bill at all.
10. You are dealt 5 cards from a deck of 52. What is the probability that all 5 are diamonds? • .00005 • .0005 • .005 • .05 • .5
11. You are dealt 5 cards from a deck of 52. What is the probability that it is a royal flush? • .000002 • .00002 • .0002 • .002 • .02
12. You are dealt 5 cards from a deck of 52. What is the probability they are all red? • .00025 • .0025 • .025 • .25 • 2.5
13. You are dealt 5 cards from a deck of 52. What is the probability of a full house? • .0001 • .001 • .005 • .01 • .05
14. You are dealt 5 cards from a deck of 52. What is the probability of getting 4 of a kind? • 2 • .2 • .02 • .0002 • .000002
15. If there are 23 people in a room, what is the probability that 2 have the same birthday? • 1% • 5% • 10% • 25% • 50%
16. What is the probability that at least 2 of the 435 members of the House of Representatives have the same birthday? (That does not mean that all 365 birthdays have to be represented by these members.) • .01 • .10 • .50 • .90 • 1.00 • 1.19
17. To win a lottery you must correctly choose 5 winning numbers from 1 to 59. The probability of doing this is • About 1 in 59 • About 1 in 50,000 • About 1 in 500,000 • About 1 in 5,000,000 • About 1 in 50,000,000 • About 1 in 500,000,000
18. To win Powerball you must correctly choose 5 winning numbers from 1 to 59 AND the correct Powerball # which is between 1 and 39. The probability of doing this is • About 1 in 39 • About 1 in 9,500,000 • About 1 in 95,000,000 • About 1 in 195,000,000
19. If you bought 94 Powerball tickets each week, how long would you do this before you could expect to win the grand prize? • About 40 years • About 70 years • About 100 years • About 40,000 years
20. Are you more likely to get a Royal Flush when dealt 5 cards, OR win the Powerball Lottery when you buy a ticket? • More likely to get a Royal Flush. • Win Powerball.
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A • B • C • D • E