Question

Can someone do 2,6,8,12

34 Exercises 187 EXAMPLE 7 GETTING FIVE HEARTS Find the probability of being dealt five bearts SOLUTION The sample is the same as in Example 5. The event consists of all pos- hands that include five hearts and no non-hearts This involves cltegories (hearts and non-hearts), so we will use the Fundamental Count- hinciple and multiply the number of ways of getting five hearts and the sible number of ways of getting no non-hearts There are 131 13C, 51,81 = 1,287 ways of getting five hearts, and there is 39! 0 39! ways of getting no non-hearts Thus, the probability of being dealt five bearts is nCsC1287 0.000495198 0.000s-1/2000 2,598,960 Rough Check In the event, there is a distinction between two categories thearts and non-hearts); in the sample space, there is no such distinction. Thus, the numerator of as two parts (one for each category), and the denominator has one part. Also the numbers in front of the Cs add correctly (13 hearts + 39 non-bearts cards to choose from), and the numbers after the Cs add correctly (5 hearts +0 non-hearts 5 cards to select). Notice that in Example 7, we could argue that since we're selecting only hearts we can disregard the non-hearts. This would lead to the answer ob- tained in Example 7: pE)1287 C 2,598,960 0,000495198 0.0005-1/2000 However, this approach would not allow us to check our work in the manner described above; the numbers in front of the Cs don't add correctly, nor do the numbers after the C 3.4 EXERCISES Uhe the guidelines on pages 181-182 to write euch of your 3. How many people would you have to have in a group so that there is a probability of at least 0.5 that at least two of them will have the same birthday? What is the probability that at least two of them will 4. How many people would you have to have in a group have the same birthday? 2. A group of sixty people is selected at random. What . In 1990, California switched from a 649 lottery to a 6 53 s the probability that at least two of them will have so that there is a probability of at least 0.9 that at least two of them will have the same birthday? lottery, Later the state switched agsin, to a 6 51 lottery the same birthday? 188 CHAPTER 3 Probability nine states and the District of Columbia, I, selecting any five of the numbers from I to a number from I to 46 . Find the peobubily of winming first prize in I1. Games like "Mega Millions" ane &. Find the probability of winning first prine in a 6/33 lottery e Find the probablity of winning first prize in a 6ySI kottery d. How much more probable is it that one willwin the 6/49 loctery than the 6/53 lottery? e Why do you think California switched from a 6/49 ketery to a 6/53 lolery? And why do you think the state then switched to a 6/51 lottery? Answer using complete sentences.) Find the probablity of winning first prize 12. -Hot Loco" is played in Delaware, Idaho na, Kansas, Mains, Minnesota, Monta Hampshire, New Mexica, North Dakota, Oklabon South Dakota, Tennessee West Virginia, Vernce and the District of Columbia. It ievolves five of the numbers from 1 to 39 plus a number f I to 19. Find the probabality of winning first prine Find the probability of winning second prize- that 6. is picking five of the six winning numbers--with a 6/53 lottery 7. Currendly, the most common multinumber game is the 5/39 lottery. It is played in California, Georgia, Illinois, Michigan, New York, North Carolina, Ohio, Tennessee, and Washington. Lotto TAKE FIVE 13. "Wild Card 2" is played in Idaho, Montana, Nort Dakota, and South Dakota. It involves selecting aty five of the numbers from I to 31, plus a card thas either a jack, queen, king or ace of any one of the four suits. Find the probability of winning first pre a Find the peobability of wieming first prine. . Find the probability of winning socood prize & Currently, the second most commoe multinamber game is the 6/49 lottery. It is played in Massachusetts Wisconsin IC Ix 14. "2 by 2" is played in Kansas, Nebraska, and North Dakota. It involves selecting two red numbers from 1 to 26 and two white numbers from 1 to 26. Find the probability of winning first prize a. Find the probability of winning first prize s. Find the probability of winning second prize. 9. "Cash 5" is a 5/35 lottery. It is played in Arizona, Connecticut, lowa, Massachasetts, North Carolina, and South Dakota 2 15. There is an amazing variety of multinumber lotteries plasyed in the UleitedSCumenty, the following lotteries are played: 4/26, /m, s/30, 5/31. 5/32 34. 5/35, 5/36, 5/37, 5/38, 5/39, 5/40, 5/43, 5/47, 6/25, 6/35,6/39, 640, 6/42, 6/43, 6/44, 6/46 1 6148. 6/49, 6/52. 6/53, and 6/54. Which is the casiest to win? Which is the hardest to win? Explain a. Find the peobability of winning first prize b. Find the probability of winning second prize. 10. The 6/44 İttery is played in Arizona, Connocticut. and New Jersey a. Find the probability of winning first prize. b. Find the probability of winning second prize your reasoning HINT: It isnt necessary to compule every single

Answer 1

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