A basket at a baby shower contains 10 bottles of pink nail polish numbered 1 through 10, and 11 bottles of red nail polish numbered 1 through 11 one is drawn from the basket at random
To find the probability of drawing a bottle of pink or red nail polish at random, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes:
- There are a total of 10 pink nail polish bottles.
- There are a total of 11 red nail polish bottles.
- Therefore, the total number of possible outcomes is 10 + 11 = 21.
Number of favorable outcomes:
- We want to find the probability of drawing a bottle of pink or red nail polish, so the favorable outcomes include any pink or red nail polish bottle.
- There are a total of 10 pink nail polish bottles, so that is 10 favorable outcomes.
- There are a total of 11 red nail polish bottles, so that is an additional 11 favorable outcomes.
- Therefore, the number of favorable outcomes is 10 + 11 = 21.
Now, we can calculate the probability of drawing a bottle of pink or red nail polish by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 21 / 21
Probability = 1
Therefore, the probability of drawing a bottle of pink or red nail polish at random from the given basket is 1, or 100%.