2. You and 30 other people are waiting to be on the first \"High Speed Rail\" tr

Question

2. You and 30 other people are waiting to be on the first "High Speed Rail" train to leave Sacramento for Bakersfield. Only 20 people will be able to ride this train. (3 points; 3 minutes) (a) Out of the 30 people, how many different groups of 20 might be selected (at least one person must be different). Show some work to support your answer. (2 points; 2 minutes) (b) What is the probability you will not be selected? Show some work to support answer. (3 points; 3 minutes) Ten trucks are waiting to be loaded. There is enough material to load four of the 10 ueondassian the

Explanation / Answer

2. a) Total no of people including me is 31
20 people can be selected from 31 people in 31C20 ways
So, no of differnt groups is 31C20

b) If I am not selected, then 20 will be selected out of 30 other people
Total no of possible group = 30C20
Total sample space = 31C20
Probability of I am not being selected= 30C20/ 31C20 = 11/31 = 0.355

3. 4 trucks can be chosen from 10 trucks in 10C4 ways.
Now 4 trucks can be arranged in 4! ways
Total no of possible outcome = 10C4 * 4! = 5040

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