A number greater than 4 is rolled on a six-sided number cube. What is the probability of the complement of this event? Express your answer as a fraction in simplest form.

Explanation:

set A = dice values greater than 4 = {5,6}

set B = dice values 4 or less = {1,2,3,4}

Sets A and B are considered complementary because one or the other must happen. You must either roll something larger than 4 (set A) or you must roll something from set B.

There are 4 items in set B out of 6 possible outcomes. That leads us to the answer 4/6 = 2/3

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!