MTH 311 QUIZ 2/ (version A.) Spring 2018 NAME: ALPHA BARRY To get credit you hav

Question

MTH 311 QUIZ 2/ (version A.) Spring 2018 NAME: ALPHA BARRY To get credit you have to provide the full work not just the final answer. Give as much explanation as you can in words to increase your chances to get full credit inspection, without replacement. of elements in it. 1./ In a box of 5 ipadsy 3 are defective. Two ipads are to be selected randomly for a./ Create (explain with your own words) what is the sample space, and count the number Find the probabilities of the following events; b. /A-f Both are defective.) c./ B-(none of them is defective) d./ C-(At least one of the two is defective.) 2./ Look at the word: IPHONE. a./ How many different word can you create(not necessary meaningful) using each letter only once. b./ Put these words in a hat, and select one. What is the probability that the selected word will end with NE?

Explanation / Answer

a) Total no of sample space = 5C2 = 10

b) P(both are defective) = 3C2/5C2 = 0.3

c) P(none of them is defective) = 2C2/5C2 = 0.1

d) P(at least one of the two is defective) = (3C1 * 2C1 + 3C2)/5C2 = 0.9

e) No of different word = 6! = 720

f) Probability = 4!/6! = 0.03

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