Show work please 1. A drawer contains exactly 5 red, 4 blue, and 3 green pencils
ID: 3121075 • Letter: S
Question
Show work please
1. A drawer contains exactly 5 red, 4 blue, and
3 green pencils. If two pencils are selected at random one after the other without replacing the first, what is the probability that the first one is red and the second one is green?
2. Which of the following subsets of the real numbers best describes the solution set of the inequality above?
(A) [0,4/3)
(B) [°,4/3)
(C) (°,°)
(D) (°,4][3, °)
3. In a group of 33 students, 15 students are enrolled in a mathematics course, 10 are enrolled in a physics course, and 5 are enrolled in both a mathematics course and a physics course. How many students in the group are not enrolled in either a mathematics course or a physics course?
(A) 3 (B) 8 (C) 13 (D) 20
Explanation / Answer
5 red, 4 blue, and 3 green pencils.
If two pencils are selected at random one after the other without replacing the first,
the probability that the first one is red and the second one is green
= 5/11*3/10 = 8/110
probability that the first one is red = 5/11 {5 red , total - 11}
probability that second one is green = 3/10 { as 3 green and 10 left}
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