SOLUTION: A box of chocolates contains 20 identically shaped chocolates. Five of them are filled with jelly, three are filled with caramel, and twelve are filled with nuts. What is the proba
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: A box of chocolates contains 20 identically shaped chocolates. Five of them are filled with jelly, three are filled with caramel, and twelve are filled with nuts. What is the probability that one chocolate chosen at random is filled with jelly, caramel, or nuts?
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Number of chocolates : 20
No. of chocolates filled with jelly : 5
No. of chocolates filled with caramel : 3
No. of chocolates filled with nuts : 12
Probability of picking up a jelly filled chocolate = 5/20
Probability of picking up a caramel filled chocolate = 3/20
Probability of picking up a nuts filled chocolate = 12/20
Probability of picking up a chocolate filled with either jelly, nuts or caramel =
5/20 + 3/20 + 12/20 = 20/20 = 1
Which means that any chocolate picked will surely contain any one of the fillings as probability is 100%.
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