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labrandonanderson00
14.02.2020 •
Mathematics
On her birthday, a girl receives a giant box of crème filled chocolates from a secret admirer. She only likes the ones with fruit flavored fillings and won't eat the others. The box says that 25% of the chocolates have fruit fillings. If she keeps choosing chocolates and biting into them, how many should she expect to reject until finding the first fruit flavored one?
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Ответ:
4 chocolates
Step-by-step explanation:
Since the problem states that the girl received a "giant box", this situation can be treated as if there is replacement, since the change in the probability of getting a chocolate with fruit filling would be minimal after picking a random chocolate.
Therefore, the expected number of choices she has to make before finding the first fruit flavored one is obtained by dividing 1 by the probability of a fruit flavored one:
She should expect to choose 4 chocolates.
Ответ: