Question

Green Valley High School recently completed an expansion. Of the new classrooms, 11 are math

classrooms, 8 are science classrooms, and 6 are history classrooms. If a single classroom is picked at
random, what is the probability that the classroom is for math or history?

Answer 1

The probability that a randomly selected classroom at Green Valley High School is for math or history is 17/25, which simplifies to 0.68.

Step-by-step explanation:

The probability that a randomly chosen classroom is for math or history at Green Valley High School can be calculated by adding the probability of selecting a math classroom to the probability of selecting a history classroom, since these are mutually exclusive events. We have a total of 11 math classrooms, 8 science classrooms, and 6 history classrooms, making a total of 25 classrooms.

To find the probability of picking either a math or history classroom, we calculate:

P(Math) = Number of math classrooms / Total number of classrooms

P(History) = Number of history classrooms / Total number of classrooms

P(Math or History) = P(Math) + P(History)

So we have:

P(Math) = 11 / 25

P(History) = 6 / 25

P(Math or History) = (11 / 25) + (6 / 25) = 17 / 25

Therefore, the probability that a randomly chosen classroom is for math or history is 17/25 or 0.68.

Answer 2

Answer: 68%

Step-by-step explanation:

The best way to do this is add up the number of math and history rooms, and divide that by the total number of rooms.

There are 17 total math and history rooms, and 25 rooms total.

17/25 = .68

Multiply that by 100 to get the percent and the answer is 68%