302 HW 15 - 1 6 36 = 36 6 36 = 30 36 or 5/6 or .8333....

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M302 HOMEWORK #15 Dr. Schurle Assignment: page 535, #2, 4, 7, 8, 12, 18, 19, 20, 28, 33, 37 Grade the following for 2 points each, with two points total for work on the remaining problems. #7. A politician fulfills all campaign promises. Select the queen of hearts from a regular deck. [probability 1/52] There is a full moon at night. [probability 1/28] Select an ace from a regular deck. [probability 4/52 = 1/13] Roll a die and a 6 appears. [probability 1/6] Select a black card from a regular deck. [probability ½] Fly safely from Chicago to New York, luggage maybe or maybe not. [Nearly 1] NOTE: The politician and the flying may be inserted anywhere! #18. Probability of a 13 is 1/38 or 0.0263. Probability of a red is 18/38 or 9/19 or .4737. #20. Probability that sum exceeds 4 is
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Unformatted text preview: 1 6 36 = 36 6 36 = 30 36 or 5/6 or .8333. [There are 6 6 = 36 possible outcomes for rolling two dice. The opposite event is having a sum no larger than 4, which would be 1,1 or 1,2 or 1,3 or 2,1 or 2,2 or 3,1, so there are six outcomes in the opposite event. The opposite event has probability 6/36 so we get the answer above.] #33. Probability of a head at least once when you flip a coin 8 times is 1 1 2 8 = 1 1 256 = 256 1 256 = 255 256 or .9961. [You need to keep track of the order of the flips, so there are 2 2 2 2 2 2 2 2 = 2 8 = 256 possible outcomes. The opposite event is having NO heads, which is exactly 1 outcome. This leads to the answer given.]...
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302 HW 15 - 1 6 36 = 36 6 36 = 30 36 or 5/6 or .8333....

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