Probability that a card selected at random is purple = 7/25
Number of red cards, N(red) = 12
Number of blue cards, N(blue) = 17
Number of purple cards, N(purple) = 14
Number of yellow cards, N(yellow) = 7
Total number of cards, N(total) = 12 + 17 + 14 + 7
N(total) = 50
Probability that a card selected at random will be purple
P(purple) = N(purple) / N(total)
P(purple) = 14/50
Reduce to the lowest fraction
P(purple) = 7/25
Therefore, probability that a card selected at random is purple = 7/25
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Complete Question
There are 12 red cards, 17 blue cards, 14 purple cards, and 7 yellow cards in a hat. If a card is selected at random, what is the probability that the card is purple