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 the same. 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.

Question

Jayce Madden

Mathematics

8 January, 16:30

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 the same. 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.

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Tristan Holder · Answer 1

14/20=0.7 or 70% are soft-centred. If we take two candies we have three possibilities associated with probabilities:

Both soft-centred: 0.7²=0.49 or 49%

Both hard-centred: 0.3²=0.09 or 9%

One of each: 2*0.3*0.7=0.42 or 42%. 49+9+42=100%. So these are all the possible outcomes.