rectangular tables with 6 chairs each and 5 round tables with 4 chairs each. The chairs are randomly numbered starting with 1 and the freshman will be randomly assigned a seat number.

What is the probability that the first freshman to arrive will be seated at a round table?
Responses

A 12/17

B 5/13

C1/20

D
5/17

1 answer

To find the probability that the first freshman to arrive will be seated at a round table, we need to consider the total number of seats available and the number of seats at round tables.

There are 6 rectangular tables with 6 chairs each, so the total number of seats at rectangular tables is 6*6 = 36 seats.

There are 5 round tables with 4 chairs each, so the total number of seats at round tables is 5*4 = 20 seats.

The total number of seats available is 36 + 20 = 56 seats.

Since each chair is randomly numbered starting with 1, there are 56 possible seat choices for the first freshman to arrive.

The probability of the first freshman being seated at a round table is the number of seats at round tables (20) divided by the total number of seats available (56).

Therefore, the probability is 20/56 = 5/14.

However, none of the given response options match this probability exactly. The closest option is B) 5/13, but this is still not correct.

Therefore, the correct answer is None of the above.