Question

Stats anyone?
Due to a manufacturing​ error, five cans of regular soda were accidentally filled with diet soda and placed into a 18​-pack. Suppose that two cans are randomly selected from the 18​-pack. Complete parts​ (a) through​ (c). @kropot72

Answer 1

Part C asks:
​(c) Determine the probability that exactly one is diet and exactly one is regular.

I got a wrong answer and I don't know what I'm doing wrong. Please help.

Answer 2

Don't forget there's two cases: first is diet, second is regular and first is regular, second is diet.

For the first case:
Chance of diet first is 5/18, then the regular second is 13/17. Multiply those to get the probability for the first case.

Answer 3

Second case:
Chance of regular first is 13/18, chance of diet second is 5/17. Multiply those for the probability for the second case.

Then add the probabilities for the first and second case.

Answer 4

Idk if you follow or not. But there's 18 total sodas, 5 diet sodas, so 13 regular sodas.

Once you've taken out one can, the total goes down to 17.

Answer 5

Yes, I'm following. So that's what I'd do for Part C?

Answer 6

Yes.

Answer 7

So I would add 13/17+5/18?

Answer 8

For the first case:
Chance of diet first is 5/18, then the regular second is 13/17. Multiply those.

Second case:
Chance of regular first is 13/18, chance of diet second is 5/17. Multiply those.

Add the results of the first and second cases.

Answer 9

Thanks!!