Answer: 1/7
Explanation:
There are seven balls in Shawn's bag, and he has to choose one ball out of them.
Since all the balls are equally likely to be chosen, the total number of outcomes can be found using the following formula:
Total number of outcomes = number of balls in the bag = 7
Now, Shawn has only one purple ball in his bag.
Hence, the number of favorable outcomes will be one.
Therefore, the probability of Shawn choosing the purple ball out of the bag can be calculated using the following formula:
Probability = Number of favorable outcomes/ Total number of outcomes
Probability of Shawn choosing the purple ball = 1/7 or 0.143 (rounded off to three decimal places).
Hence, the probability of Shawn choosing the purple ball out of the bag is 1/7.