Question

Help Me!!!
Sally is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd} and let B = {the sum of the number cubes is divisible by 2}. List the outcomes in A ∩ B.

{2,4,6,8,10,12}

{0,2}

{ }

{0,2,4,6,8,10,12}

Answer 1

@MARC_ do you think you can help?

Answer 2

Two number cubes: (List all the possible numbers first)

Answer 3

2,4 and 6 right?
@MARC_

Answer 4

The sum would be odd when one die rolls an even number and the other rolls an odd number (even + odd = odd).

The sum would be even if both dice roll even numbers or odd numbers.

Answer 5

@HelpMePrettyPlease4 this should give you an idea of how to list the sample space's outcomes.

Answer 6

so the answer is just 0 and 2? @SithsAndGiggles

Answer 7

i know nothing about that, i'm confused myself @HelpMePrettyPlease4

Answer 8

@kaebeee95 do you know anybody that can come help me cause i have to get this problem right.

Answer 9

@Alpheryite i am not sure what to put, can you please help me! please!

Answer 10

im new , i really dont know

Answer 11

@Alpheryite what do u think it is?

Answer 12

@Its_A_Moot_Point

Answer 13

hey :)

Answer 14

@Its_A_Moot_Point hey. :-) do you think you can help me?

Answer 15

@SithsAndGiggles I still haven't figures it out can you help me?

Answer 16

The first thing to notice is that the sample space of either A or B is a set of coordinate pairs, not single numbers. For example, rolling a 1 and a 2 (which sums to 3, an odd number), would be listed as (1,2), an element in A. This means you can eliminate everything but the empty set option.

Another way to get the same answer is that, like I said in my last comment, the set A consists of pairs of even and odd numbers, whereas B consists of pairs of evens and pairs of odds.

For example, (1,2) is a pair in A, while (2,2) and (1,5) are pairs in B. No pair in A will consist of both evens and odds, which means A and B will share no common elements, so their intersection is empty, i.e. \(A\cap B=\{\}\).

Answer 17

ohh so the answer is {}

Answer 18

@SithsAndGiggles

Answer 19

Yes, didn't I say that?

Answer 20

ty!

Answer 21

its CCCCCC

explanation because A say the sum of number cubes that are odd.
meaning
ROLLS DICE* 1+2=3 (SUM OF CUBES THAT ARE ODD)
3 is a odd number and so on
3,5,7,9,11.

LET b = sum of cubes divisible by 2 none are divisible by 2.
but you didnt need to do this step because 3,5,7,9,11 are none of the options.