We have a special deck of ten cards that have the following designs:

0 and a red square 1 and a blue square The 2 and a green square 3 and a red circle 4 and a blue circle 5 and a green circle 6 and a yellow circle 7 and a blue triangle 8 and a green triangle 9 and a black star

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? then 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? 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.