In a cooler there are 8 bottles of grape juice and 12 bottles of orange juice. There are also 6 blueberry yogurts and 9 strawberry yogurts. If you grab a bottle of juice and a yogurt without looking, what is the probability that you get a grape juice and a blueberry yogurt?
If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
8/(8+12) * 6/(9+6) = ?
To find the probability of getting a grape juice and a blueberry yogurt, we need to first calculate the total number of possible outcomes.
The total number of bottles of juice is 8 + 12 = 20.
The total number of yogurts is 6 + 9 = 15.
Therefore, the total number of possible outcomes is 20 * 15 = 300.
Next, we need to determine the number of favorable outcomes, which is the number of ways we can select 1 grape juice bottle and 1 blueberry yogurt.
The number of grape juice bottles is 8.
The number of blueberry yogurts is 6.
Therefore, the number of favorable outcomes is 8 * 6 = 48.
The probability of getting a grape juice and a blueberry yogurt is the ratio of the number of favorable outcomes to the total number of possible outcomes:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 48 / 300
Probability ≈ 0.16
So, the probability of grabbing a bottle of grape juice and a blueberry yogurt without looking is approximately 0.16 or 16%.
To find the probability of getting a grape juice and a blueberry yogurt, we need to determine the number of favorable outcomes (getting a grape juice and a blueberry yogurt) and the total number of possible outcomes (selecting one bottle of juice and one yogurt).
Let's start by calculating the number of favorable outcomes:
Number of grape juice bottles = 8
Number of blueberry yogurts = 6
So, the number of favorable outcomes is the product of these two numbers: 8 * 6 = 48.
Now, let's calculate the total number of possible outcomes:
Total number of juice bottles = 8 + 12 = 20
Total number of yogurts = 6 + 9 = 15
Therefore, the total number of possible outcomes is the product of these two numbers: 20 * 15 = 300.
Now, we can find the probability of getting a grape juice and a blueberry yogurt 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 = 48 / 300
Probability ≈ 0.16 or 16%
So, the probability of randomly selecting a grape juice bottle and a blueberry yogurt from the cooler is approximately 0.16 or 16%.