A basket at a baby shower contains 8 bottles of pink nail polish numbered 1 through 8, and 9 bottles of red nail polish numbered 1 through 9. One bottle is drawn from the basket at random.
What is your question?
Find
P(A∣B).
To answer this question, we need to understand the concept of probability and how to calculate it.
The total number of bottles in the basket is the sum of the pink nail polishes and the red nail polishes, which is 8 + 9 = 17 bottles.
To calculate the probability of drawing a specific bottle, let's say a pink nail polish numbered 4, we need to determine the number of favorable outcomes (drawing the pink bottle number 4) and the total number of possible outcomes (drawing any bottle from the basket).
Favorable Outcomes:
There is only one pink bottle number 4, so there is 1 favorable outcome.
Total Possible Outcomes:
Since there are 17 bottles in total, there are 17 possible outcomes.
Now, we can calculate the probability of drawing the pink nail polish number 4 by dividing the number of favorable outcomes by the total possible outcomes:
Probability = (# of Favorable Outcomes) / (# of Total Possible Outcomes)
= 1 / 17
Therefore, the probability of drawing the pink nail polish number 4 is 1/17.
You can use the same process to calculate the probability for any other specific bottle or event, by determining the number of favorable outcomes and the total possible outcomes.