Answer:
11/12
Explanation:
o calculate the probability that the first person to enter the room will be randomly seated at a metal table, we need to determine the total number of tables and the number of metal tables.
Total number of tables = 11 metal tables + 1 wood table = 12 tables
Number of metal tables = 11
The probability of randomly selecting a metal table for the first person to be seated can be calculated as:
Probability = Number of favorable outcomes / Total number of possible outcomes
In this case, the favorable outcome is the person being seated at a metal table, and the total number of possible outcomes is the total number of tables.
Therefore, the probability is:
Probability = Number of metal tables / Total number of tables
Probability = 11 / 12
Since the probability should be given as a reduced fraction, we cannot simplify 11/12 further.
Hence, the probability that the first person to enter the room will be randomly seated at a metal table is 11/12.