3. A bag contains 5 red skittles, 4 blue skittles, 6 green skittles and 3 yellow skittles. What is the probability of selecting 3 skittles that are NOT green?
To find the probability of selecting 3 skittles that are not green, we need to first calculate the total number of possible outcomes and then find the number of favorable outcomes.
Step 1: Calculate the total number of possible outcomes
The bag contains a total of 5 + 4 + 6 + 3 = 18 skittles.
Therefore, there are 18 possible outcomes when selecting 3 skittles from the bag.
Step 2: Calculate the number of favorable outcomes
In order to select 3 skittles that are not green, we need to consider the three other colors: red, blue, and yellow.
Number of red skittles = 5
Number of blue skittles = 4
Number of yellow skittles = 3
So, the number of favorable outcomes (skittles that are not green) is 5 + 4 + 3 = 12.
Step 3: Calculate the probability
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 12 / 18 = 2/3
Therefore, the probability of selecting 3 skittles that are not green is 2/3.
18 skittles in all, so
12/18 * 11/17 * 10/16 = ____