The card game Uno consists of a deck of 108 cards. There are 25 cards of each color (blue, red, yellow, and green), plus 8 wild cards. Each color contains one 0, two each of the digits 1 through 9, and two each of "skip," "reverse", and "draw two."
a) If you draw two cards without replacement, what is the probability of drawing a 3 or a yellow card? You may answer in fraction or decimal form.
b) If you draw two cards without replacement, what is the probability of drawing a green reverse card followed by a wild card? You may answer in fraction or decimal form.
Answers :
A) total cards : 108
Number of cards with digit 3 :- 8
Number of cards with yellow color : - 25
Number of cards with color hello and number 3 : 2
Number of Favorable outcomes 25+8-2 = 31
Total number of ways of drawing two cards : 108*107 = 11556
Number of ways of not getting a yellow card or number 3 on any card : = (108-31)*(107-31) = 77*76
Prabability = 77*76÷ 11556 = 0.5064
Probability of getting a yellow card or number 3 = 1-0.5064 = 0.49359
B) number of green reverse cards = 2
Number of wildcards : 8
Probability of drawing a green reverse card followed by wildcard = 2*8 ÷ 11556 = 0.001384562
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