Calculate probability of two girls sitting side by side

Problem description:
At the round table, seven boys and two girls sit in random order.
Find the probability that two girls will sit side by side.

Problem solution:
Again we will consider the chairs, not boys and girls.
We have 9 free chairs in total.
Let one girl sit in any chair.
Then there will be 8 free places, and for the second girl to sit next to the first, there are two chairs to the left and to the right of the first.
This means that the desired probability is equal to:
2/8
=
1/4
= 0.25


Answer: probability that two girls will sit side by side is 0.25


Next probability problem solution: Calculate probability that two girls will sit side by side

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Tuesday, August 11, 2020
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