a. The events are mutually exclusive, so
b. For the same reason,
Another way to see this is to use the result from part (a), and the inclusion/exclusion principle:
and the right side reduces to 0.
c. Same as (b),
d. Same as (b),
We can also use the distributivity rule for unions and intersections to write
e. If the is the complement of
, then by DeMorgan's law,
Answer: For every 1 can of red paint, the number of yellow paints used by the painter is and
There are approximately 29 cans of yellow paints for 34 cans of red paints.
Step-by-step explanation:
Since we have given that
Number of cans of red paint = 14
Number of cans of yellow paint = 12
According to question, we have to find that for every 1 can of red paint the painter uses what number of yellow paints;
Since the ratio of red paint to yellow paint is given by
So, for every 1 can of red paint, the number of yellow paints used by the painter is
Similarly,
If Number of can of red paint is used = 34
So, Number of cans of yellow paint will be
Hence, there are approximately 29 cans of yellow paints for 34 cans of red paints.