A bag contains 8 cinnamon candies, 16 peppermint candies, and 7 licorice candies. You are going to reach into the bag and pull out some candies without looking. What is the least number of candies that you must pull out, to be sure that you have removed at least three licorice candies? (Show your work)

The first 24 might all be cinnamon or peppermint.

After that, the next three must be licorice, so 27 is the minimum to guarantee at least 3 licorice.

27 oui/yes itโ€™s correct ๐Ÿค๐Ÿ˜ท๐Ÿคง๐Ÿ˜ช๐Ÿฅด๐Ÿค•๐Ÿค’๐Ÿคค๐Ÿ˜ด๐Ÿ˜ตโ€๐Ÿ’ซ๐Ÿคฎ๐Ÿค‘๐Ÿ˜ต๐Ÿฅฑ.

S-74

Well, let's see. If we want to be absolutely certain to have at least three licorice candies, we need to consider the worst-case scenario.

The worst-case scenario would be if we pull out all the other types of candies before getting to the licorice ones. So, we can start by removing all the cinnamon and peppermint candies from the bag.

There are a total of 8 cinnamon candies and 16 peppermint candies, so we need to pull out 8 + 16 = 24 candies to remove all of them from the bag.

Now we are left with only the 7 licorice candies. To be sure we have removed at least three licorice candies, we need to pull out two more candies since we have already taken out all the other types.

Therefore, the least number of candies we must pull out is 24 + 2 = 26. Just to be sure, it's always a good idea to double-check your work by solving the problem in a different way or reasoning through it.

To find the least number of candies that you must pull out to be sure that you have removed at least three licorice candies, we need to analyze the worst-case scenario.

The worst-case scenario is that the first two candies you pull out are not licorice candies. In this case, the maximum number of non-licorice candies you can pull out before getting a licorice candy is 23 (8 cinnamon + 16 peppermint - 2 non-licorice candies).

Therefore, to be sure that you have removed at least three licorice candies, you must pull out at least 23 + 3 = 26 candies.

By reaching into the bag and pulling out 26 candies without looking, you can be sure that you have removed at least three licorice candies.

Loved it! But you didn't show the work 4 the problem! ๐Ÿ˜‚๐Ÿ˜ก