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6. A large group of visitors checks their bags in a museum. The attendant sticks

ID: 3071574 • Letter: 6

Question

6. A large group of visitors checks their bags in a museum. The attendant sticks a unique number sticker to each bag.

The attendant is out of tokens to issue to the guests, which would correspond to the numbers of their bags' stickers, so he takes a piece of paper and he writes the DL # of each guest near the bag sticker number.

The attendant accidentally tosses this piece of paper with the list. So he simply gives the bags back at random to the group (to sort it out later between themselves), one by one, one bag per one person.

Estimate the probability that none of the group members is accidentally handed the correct bag.

Explanation / Answer

no. of ways that all of the group members is accidentally handed the correct bag is only 1

the probability that all of the group members is accidentally handed the correct bag is

1/ total no. of guests

the probability that none of the group members is accidentally handed the correct bag is

1- (1/ total no. of guests)

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