Question

Suppose you are playing a game with two number cubes. Let A represent rolling 2, 3, or 4, and B represent rolling 1, 5, or 6. The probability of A is 1/2 and the probability of B is 1/2 .

a. Simplify (1/2 A + 1/2 B)^2
b. What is the probability that one number cube shows 2, 3, or 4, and the other shows 1, 5, or 6?

Answer 1

i don't mean to be a critic, but this line \((\frac{1}{2}A+\frac{1}{2}B)^2\) makes no sense in this context, because A and B are sets, not numbers

Answer 2

answer to part two is \(\frac{1}{2}\times \frac{1}{2}\)

Answer 3

that is exactly how it is written just how you posted it

Answer 4

i am confused on A.)

Answer 5

yeah me too, it makes no sense whatsoever

Answer 6

A is a set
B is a set
you cannot multiply a set by \(\frac{1}{2}\) and add it to another set. it make no sense

Answer 7

you add and multiply numbers, not sets
you can take the union of two sets if you like, or their intersection, but you cannot add or multiply

Answer 8

where did the question come from ?

Answer 9

a test

Answer 10

and that is exactly how they put it on there the same way i posted it and you rewrote it the first time how the problem actually looks on the test

Answer 11

well it make no sense
if A and B were numbers or variables that represent numbers you could do it.
if they are sets (it says " Let A represent rolling 2, 3, or 4") then you cannot do it. sorry

Answer 12

you might want to ask your teacher what he or she had in mind, and ask (gently) how one is expected to multiply sets together.
i take it this is not in a text book (i hope it is not)

Answer 13

Thank you for the help