Question

Part 7:

The city of Maple Grove is choosing a month for their Heritage Festival. Assuming that all months have an equal probability of being chosen, what is the probability the festival will take place during a month with a name that ends in “r.”


1. Describe the sample space for this problem.


2. Which outcome (or outcomes) of the sample space composes the event?


3. Express the probability of the festival occurring in a month ending in “r” as a fraction and as a decimal.


4. Describe the probability of the festival occurring in a month ending in “r” as impossible, unlikely, neither likely nor unlikely, likely or certain. Justify your response

Answer 1

January, February, March, April, May, June, July, August, September, October, November, December. That's the sample space.

A September, October, November, December festival would compose this event.

Four months have names ending in r, so the probability of the festival occurring in a month ending in "r" is 4/12, or 1/3, or 0.3333....

Neither likely nor unlikely. Were the probability 1/8 or so, then we'd say the likelihood of this event is small; were the probabli 7/8 or so, we'd say it is great, but a probability such as 1/3 is in between.