Question

Lots of points!! Help!!

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.”

Describe the sample space for this problem.


Which outcome (or outcomes) of the sample space compose the event?


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


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.


At least answer one I could use any help

Answer 1

Of the 12 available months,
`r=4` of them end in the letter "r" (Sep, Oct, Nov, Dec). The sample space consists of all 12 possible choices of 1 month, but the only outcome we care about is any 1 of these 4 being selected. The probability of choosing any one of these is
`\frac4{12}=\frac13\approx0.33`. How you describe the probability is up to interpretation, but probably a good convention to use is to say that an event is "unlikely" to happen if that event has a probability less than 0.5 of occurring.