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Probability Applications MTH 160: Statistics
Version 1 09/13

Read the following scenario and complete each of the four problem sets below:
Suppose we have a special deck of ten cards that have the following designs:
? The number 0 and a red square
? The number 1 and a blue square
? The number 2 and a green square
? The number 3 and a red circle
? The number 4 and a blue circle
? The number 5 and a green circle
? The number 6 and a yellow circle
? The number 7 and a blue triangle
? The number 8 and a green triangle
? The number 9 and a black star 1. Using the 10 card deck, how many sets of 3 can be made if the order of the cards does NOT matter? How many sets of 3 cards can be made if order does matter? Explain the difference between these two questions.
2. Suppose 2 cards are selected without replacement:
a. What is the probability of drawing a card with a different color if the first card is the black star? b. What is the probability of drawing a card with a different shape if the first card is the green square?
c. What is the probability of drawing 2 blue cards? d. What is the probability of drawing 2 circle cards? e. What is the probability of drawing 2 blue cards OR 2 circle cards? f. What is the probability of drawing 2 blue cards AND 2 circle cards? a. b. c. d. e. f.

Version 1 7/1/13
3. Suppose 2 cards are selected with replacement:
a. What is the probability of drawing a card with a different color if the first card is the black star?
b. What is the probability of drawing a card with a different design if the first card is the green square?
c. What is the probability of drawing 2 blue cards?
d. What is the probability of drawing 2 circle cards?
e. What is the probability of drawing 2 blue cards OR 2 circle cards?
f. What is the probability of drawing 2 blue cards AND 2 circle cards? a. b. c. d. e. f.
4. How do the concepts of independent events and mutually exclusive events apply
to problems #2 and #3? Use specific examples from this exercise to explain your answer.

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