Question 126822: 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?
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website! I'm not sure if you stated the question as you meant to state it.
If 5 are jelly-filled, 3 are caramel-filled, and the remaining 12 have nuts, then all 20 pieces of candy have been accounted for. That means that if I choose one piece at random, it is guaranteed to have either jelly, caramel, or nuts in it, because there are no other possibilities. So, as stated, the probability that 'one chocolate chosen at random is filled with jelly, caramel, or nuts, is and a probability of 1 is certainty.
On the other hand, if you really meant what is the probability that the candy is filled with jelly, and then what is the probability it is filled with caramel, and finally the probability that it is filled with nuts, you want:
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