Given 84 boxes of cereal with 22 high fiber,33 low fiber,and 53 high calorie. What is the probability of selecting a high calorie given high fiber? What is the probability of selecting a high calorie given low fiber?
To find the probability of selecting a high-calorie cereal given high fiber or low fiber, we need to know the total number of cereals for each fiber type.
Step 1: Calculate the total number of cereals.
Total cereals = high fiber + low fiber + high calorie = 22 + 33 + 53 = 108
Step 2: Calculate the probability of selecting high calorie given high fiber.
Probability (high calorie | high fiber) = (Number of high calorie cereals with high fiber) / (Total number of cereals with high fiber)
Probability (high calorie | high fiber) = 53 / 22
Step 3: Calculate the probability of selecting high calorie given low fiber.
Probability (high calorie | low fiber) = (Number of high calorie cereals with low fiber) / (Total number of cereals with low fiber)
Probability (high calorie | low fiber) = 53 / 33
Therefore, the probability of selecting a high calorie cereal given high fiber is 53/22, and the probability of selecting a high calorie cereal given low fiber is 53/33.