1-6 please! 0 Econ 236 Spring, 2018 Exam 1B Chapter 4 probability of rolling a 8
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Question
1-6 please!0 Econ 236 Spring, 2018 Exam 1B Chapter 4 probability of rolling a 8 (put answer in 4 digitsy? Therom I to 15. Four balls are drawn from the box. When a pair of dice is rolled, what is the 2. A box contains balls that are numbered the box. When a ball is it is not replaced. laced. The "winning drawn trom the box, does not have to be in the exact order of the number drawn. How many outcomes? 1 to 15. Fhas to balls are drawn from the box. When a ball is are 3. A box contains balls that are numbered from Four drawn from the box, it is not replaced. The '"wi Winning number" has to be in the exact order of the y outcomes are there? mes are there? he "i drawn. How many outcomes are there? rom these 25 students, a team of 5 students will be selected. How many different teams can be selected? 5. A project has three stages. Stage I can be finished in 1 to 6 months. 6 months. Stage I can be finished in 3 to9 How many outcomes are there? a deck of car months. State can be finished in 4 to 8 months,1 6. What is the probability that a card drawn from Put answer in 4 digits. (There are 52 cards in a deck of cards, there are 13 Jack, Queen, King) ds will be either a face card or a Diamono cards in each suite, face card A preseason poll asked 20, 000 respondents to answer the following question. Will the SEC or the nd a team to this year's national championship game? 8000 said the SEC would, 9000 said the A uld, and 4000 said that neither conference would send a team. What is the probability that a resp d that either the SEC or the ACC will send a team. here is a 40 percent chance that a certain brand of tire will last 40,000 miles. If four tires are p e same time, what is the probability that at least one tire will need to be replaced before 40,0 answer in4 digits) sketball player is a 60% free throw shooter, what is the probability that she will make l kes 2 free throws? nd B are independent events. The P(A) - 65 and the P(A and B)- 26. What is P(B
Explanation / Answer
1) p( rolling a 8) =5/36 (as total number of outcomes =6*6 =36 out of which there are 5 ways to have a sum of 8 which are {(2,6),(6,2),(3,5),(5,3),(4,4)}
2)number of outcomes =selecting 4 ball out of 15 =15C4 =15!/(11!*4!) =1365
3)
number of outcomes =N(as each place has 15 choices number of ways) =154 =50625
4)
number of teams =N(number of choice of 5 students from 25) =25C5 =25!/(5!*20!) =53130
5)
number of outcomes =N(outcome for 1st stage)*N(outcome for 2nd stage)*N(outcome for 3rd stage)=6*7*5=210
6)
totoal number of face cards or diamond card =N(face card)+N(daimnd card)-N(face and diamond) =12+13-3=22
hence probability =22/52 =11/26 =0.4231
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