Final answer:
The probability of drawing 3 butterscotch candies from the bag is 1/71.
Step-by-step explanation:
To find the probability of drawing 3 butterscotch candies from the bag, we need to determine the total number of candies in the bag and the number of butterscotch candies. In this case, there are 9 peppermints and 4 butterscotch candies in the bag, making a total of 13 candies. Since we are drawing 3 candies, the sample space is 13C3 (or 13 choose 3). This represents the number of ways we can choose 3 candies from a total of 13. The probability of drawing 3 butterscotch candies is then given by the number of ways to choose 3 butterscotch candies divided by the total number of possibilities.
Number of ways to choose 3 butterscotch candies: 4C3 (or 4 choose 3) = 4
Total number of possibilities: 13C3 (or 13 choose 3) = 286
Probability of drawing 3 butterscotch candies = 4/286 = 1/71