Question

A standard die is rolled and a month

of the year is chosen at random.
What is the probability of rolling a
number that is at least
then
choosing a month that does not
begin with the letter M?
200

Answer 1

The probability is
`(5)/(9)`

Explanation:

First we will find the probability of having a roll that is at least 3

1 2 3 4 5 6

this means there is a
`(4)/(6)` chance we will roll at least 3

Next we will find which months of the year are applicable

January February March April May June July August September October November December

This means there is a
`(5)/(6)` chance we will pick a month that does not begin with the letter M.

Now we can multiply these chances together to see what the total probability is.

`(4)/(6) * (5)/(6) = (20)/(36) \rightarrow \boxed{(5)/(9)}`

That is the answer

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