Question

You are playing a game in which you roll two dice, then draw a card from a standard deck. You win if you roll a sum that is divisible by 3 AND draw a card with a number that is divisible by 3.
Determine the probability that you win.

Answer 1

looking for help

Answer 2

Hey! Do you want the answer or would you like help step by step?

Answer 3

if u might step by step it will be help

Answer 4

or u can give the answer too

Answer 5

Ok. Lets look at the cards and dice separately. What's the probability of winning on the dice part?

Answer 6

1/2

Answer 7

(Or you can start on the cards part if that's easier for you)

Answer 8

It's definitely 1/2 if you have only one dice. But we've got two dice, right?

Answer 9

ya

Answer 10

When you roll two dice, you'll get a score between two and twelve. Which scores are winning scores?

Answer 11

3/12

Answer 12

It should be 3, 6, 9, or 12.

Answer 13

^and, not or.

Answer 14

ok is this the final answer

Answer 15

No, the final answer will take a while to get to, I think. For the cards part, there's 3 winning cards in every suit, so the chance of winning that part is 3/13. For the dice part, you add up the chance of getting a score of 3,6,9 and 12, which comes to 12/36 so 1/3. You then combine the two to get 1/3 times 3/13 which is 1/13.

Answer 16

Which is the final answer

Answer 17

1/13 the final

Answer 18

thnx so much