Twelve people form a club. By picking lots, one of them will host a dinner for all once in a month. The number of dinners a particular member has to host in one year is
Correct Answer :
Cannot be predicted
Solution :
The correct option is Cannot be predicted.
Let's understand the process step-by-step to see why this is the correct answer:
1. There are 12 members in the club.
2. A dinner is hosted once a month, which means there are 12 dinners in a year.
3. Crucially, the host for each dinner is chosen by "picking lots" (drawing lots). This means that for each of the 12 months, a random draw is conducted to select one host from the 12 members.
Because the host is selected by drawing lots independently each month (or with replacement, since all members remain eligible to host or participate in the draw each time unless specified otherwise), the outcome is purely probabilistic.
In a random lottery system, it is possible for the same person to be selected multiple times, once, or not at all during the 12 months.
For a particular member:
They might be selected to host 0 dinners, 1 dinner, 2 dinners, or even all 12 dinners, depending entirely on the luck of the draw.
Therefore, we cannot determine or predict with certainty the exact number of dinners a particular member will host in one year.
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