Question

TODAYTHIS WEEKCREDITS$Patricia was setting up a room with tables for an event. The room had9 maple tables, 10 poplar tables, 5 cedar tables, and 7 cherry tables.Each table can seat 8 people.What is the probability that the first person to enter the room will berandomly seated at a maple table?Give your answer as a reduced fraction.

Answer 1

As in each table can seat 8 people and the probability you need to find is about the first person you can ignore this data.

Probability that the first person to enter the room will be randomly seated at a maple table:

$P(maple)=\frac{#maple\text{ }tables}{#total\text{ }tables}$

#maple tables: 9

# total tables: 9 +10 +5 +7=31

$P(maple)=\frac{9}{31}$Then, the probability that the first person to enter the room will be randomly seated at a maple table is 9/31