6. An experiment is conducted in which one of the letters from the word finals is selected at random. a. Describe the sample space of equally likely outcomes for this experiment. b. List the elements in the event A, that a vowel is not selected. c. Find the probability of selecting the letter n, given that a vowel was not selected.

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6. An experiment is conducted in which one of the letters from the word finals is selected at random.
a. Describe the sample space of equally likely outcomes for this experiment.
1b. List the elements in the event A, that a vowel is not selected.
c. Find the probability of selecting the letter n, given that a vowel was not selected.
7. Sam's Scooters has scooters in various sizes and colors in stock. Their present inventory is given below.
red
blue
black
Total
small
20
30
5
55
medium
10
15
40
65
large
25
45
35
105
Total
55
90
80
225
If one scooter is selected at random, find the following probabilities:
a. The probability that it is blue.
b. The probability that it is a small, black scooter.
c. The probability that it is red, given that it is a medium scooter.
d. Are the events "is a small scooter" and "is a red scooter" mutually exclusive? Justify your answer.
Transcribed Image Text:6. An experiment is conducted in which one of the letters from the word finals is selected at random. a. Describe the sample space of equally likely outcomes for this experiment. 1b. List the elements in the event A, that a vowel is not selected. c. Find the probability of selecting the letter n, given that a vowel was not selected. 7. Sam's Scooters has scooters in various sizes and colors in stock. Their present inventory is given below. red blue black Total small 20 30 5 55 medium 10 15 40 65 large 25 45 35 105 Total 55 90 80 225 If one scooter is selected at random, find the following probabilities: a. The probability that it is blue. b. The probability that it is a small, black scooter. c. The probability that it is red, given that it is a medium scooter. d. Are the events "is a small scooter" and "is a red scooter" mutually exclusive? Justify your answer.
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