Exam 2 review Show your work and box your final answer Question1 1. A bag contai

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Exam 2 review Show your work and box your final answer Question1 1. A bag contains 6 red marbles and 4 blue marbles. 3 marbles are drawn without replacement. What is the probability of drawing 3 red marbles? What is the probability of drawing 2 blues and a red marble? (Think of all possibilities) 2. How many code symbols can be formed using 4 out of 5 letters of A, B, C, D, and E if the letters: a. are not repeated? b. can be repeated? c. are not repeated but must begin with D? d. are not repeated but must end with DE? Question 2 If two cards are selected from a standard deck of cards. The first card is placed back in the deck before the second card is drawn. Find the following probabilities:

Explanation / Answer

1) P(drawing 3 red marbles) = 6C3 / 10C3 = 20 / 120 = 1/6 or 0.167

P(2 blue and 1 red) = 4C2 * 6C1 / 10C3 = 6 * 6 / 120 = 3/10 or 0.3

2)

A) number of codes if letters are not repeated = 5P4 = 120

B) number of codes if letters are repeated = 54 = 625

C) number of codes = 4P3 = 24

D) number of codes = 3P2 = 6

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