Todd is playing a board game and rolls two number cubes. let a={the sum of the number cubes is even} and let b={the sum of the number cubes is divisible by 2}. list the outcomes a n b a)3,6,9,12 b) 2,4,6,8,10,12 c) 2,3,4,5,6,7,8,9,10 or d) 0,2,4,6,8,12

The correct option is B

Step-by-step explanation:

Todd rolls two number cubes.

Let A={the sum of the number cubes is even}

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

Let B={the sum of the number cubes is divisible by 2}

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

Now we have to find A∩B

Intersection refers to the values which are common in both the sets. The sums in both sets are even and divisible by 2.

So,

A={2,4,6,8,10,12} B = {2,4,6,8,10,12}

A∩B = {2,4,6,8,10,12}

Thus the outcomes A∩B = {2,4,6,8,10,12}

The correct option is B