Question

Each person takes turns rolling two dice. If the sum is odd, the person playing odds gets points equal to the value of the roll. If the sum is even, the person playing evens gets points equal to the sum of the roll. Note that the points earned is independent of who is rolling the dice.

If Jessica is challenged to a game of Sums, which statement below is accurate in every aspect in guiding her to the correct choice of choosing to play odds or evens?

Answer 1

E(evens) will be more because there are more even numbers that result from rolling two dice. Therefore, Jessica should play evens.
E(odds) will be more because the probability for each odd number being rolled is greater. Therefore, Jessica should play odds.
E(evens) will be more because the value of the even numbers on the dice are more. Therefore, Jessica should play evens.
E(evens) = E(odds) because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes.

Answer 2

@Aveline

Answer 3

Should Jessica play odds or evens, or are both of the probabilities the same?

Answer 4

i have zero idea but im going to go with odd

Answer 5

hint
odd+odd = even
even + even =even
even + odd = odd

Answer 6

No, try adding up the probability of rolling an even.

Answer 7

ahh so even

Answer 8

What's the probability of rolling a 2? 4? 6? 8? 10? 12?
Add those up
Then do the same thing with every odd number.

Answer 9

18/36 for even

Answer 10

18/36 for odd as well

Answer 11

The probabilities are equal!

Answer 12

E(evens) = E(odds) because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes.

Answer 13

thanks aveline!