Question

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O PROBABILITY AND STATISTICS
Finding the odds in favor and against
M
Justin is playing a carnival game. He is blindfolded while he throws a dart at a board of 12 balloons, as shown below. Each balloon is labeled "S" for small, "M" for
medium, "L" for large, or "XL" for extra-large. The board has 3 small balloons, 5 medium balloons, 2 large balloons, and 2 extra-large balloons. He hits one of
the balloons at random and wins a stuffed animal of that size.
0
77°F
Mostly cloudy.
M
Explanation
M
XL
L XL
(a) Find the odds against Justin winning a medium stuffed animal.
M
(b) Find the odds in favor of Justin winning a medium stuffed animal.

Answer 1

The total amout of balloons is:

`3+5+2+2=12`

5 out of those 12 balloons are labelled medium-sized. Then, 7 out of 12 balloons do not display a letter M.

The chances of hitting a balloon labelled M are 5/12 and the chances of hitting a balloon other than a balloon labelled M are 7/12.

Therefore, the answers are:

a) 7/12

b) 5/12