A bag has 4 coins, each with a different color. All these 4 coins have the same probability of heads; this probability being 2/9. Suppose that you reach into the bag and draw a random coin. You note its color, and toss the coin repeatedly until you get a heads with that coin. You now put the coin back into the bag, and again randomly draw a coin (it is possible that you draw the same coin that you put back). As before, you toss this coin repeatedly until you get a heads. You continue this process until you have seen coins of all 4 colors. At that point, you stop (and do not toss this coin of the fourth color).

Determine a numerical value for the expected total number of times you toss coins(meaning the sum over the expected number of tosses for the first 3 colors that you see).

answer choices:

8

21

27/2

18

16