Answer:

a. if the boys are exausted and tired

b.if one of the boys lets the girl sit in his seat

c. if the boys are kind enough to give their seats to the girls

Step-by-step explanation:

ANSWER

1/3

Step-by-step explanation:

The given in the problem:

Two empty seats

Two boys

Two girls

First, we will determine if this problem involves Permutation or Combination. Since the problem did not mention anything about order or rank, that means that this is a problem concerning Combination.

Formula for Combination:

Second, we determine the sample space. We have 2 boys and 2 girls, that is, we have a total of 4 elements to choose from. So our n=4 and r=2

Solution for Sample Space:

This means that there are 6 possible ways for the 4 people to take the 2 seats.

Now the condition says two boys. So we will get how many ways can the boys sit on the empty seats. Our n=2 and r=2.

Notice that both n and r are the same. In this case, the possible way is only one. But since each of them can choose one of the 2 seats, it means that we multiply the possible ways with 2. So we have,

Final Solution:

To get the probability, we divide the result with our sample space which is 6.

Therefore, the probability is 1/3.