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 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?
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?MTH160: Introduction to Statistics 2
Version 2
August 2020
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.