Gump probabilities According to Forrest Gump, "Life is like a box of chocolates. You never know what you're gonna get." Suppose a candy maker offers a special “Gump box” with 20 chocolate candies that look alike. In fact, 14 of the candies have soft centers and 6 have hard centers. Choose 2 of the candies from a Gump box at random. Find the probability that both candies have soft centers.

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3.
Gump probabilities According to Forrest Gump, "Life is like a box of
chocolates. You never know what you're gonna get." Suppose a candy
maker offers a special "Gump box" with 20 chocolate candies that look
alike. In fact, 14 of the candies have soft centers and 6 have hard centers.
Choose 2 of the candies from a Gump box at random. Find the probability
that both candies have soft centers.
Transcribed Image Text:3. Gump probabilities According to Forrest Gump, "Life is like a box of chocolates. You never know what you're gonna get." Suppose a candy maker offers a special "Gump box" with 20 chocolate candies that look alike. In fact, 14 of the candies have soft centers and 6 have hard centers. Choose 2 of the candies from a Gump box at random. Find the probability that both candies have soft centers.
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Draw a tree diagram to model this chance process and find the probability that one of the chocolates has a soft center and the other one doesn't. 

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