Question

There is a 40% chance that a person likes pineapple on their pizza and an 88% chance they like pepperoni. 54% of people like both pineapple and pepperoni. What is the probability someone like pineapple or pepperoni?

Answer 1

The probability that someone likes pineapple or pepperoni on their pizza is calculated using the formula P(A or B) = P(A) + P(B) - P(A and B). By plugging in the given probabilities for liking pineapple (40%), pepperoni (88%), and both (54%), we find that there is a 74% chance that a person likes either of the two toppings.

Step-by-step explanation:

Calculating the Probability of Liking Pineapple or Pepperoni on Pizza

When trying to figure out the probability that someone likes either pineapple or pepperoni on their pizza, we can apply the basic principles of probability. In this scenario, we have been given three pieces of information:

• There is a 40% chance that a person likes pineapple on their pizza.
• There is an 88% chance that they like pepperoni on their pizza.
• 54% of people like both pineapple and pepperoni on their pizza.

To find out the probability that someone likes either pineapple or pepperoni, or both, we use the formula P(A or B) = P(A) + P(B) - P(A and B), where P(A) is the probability of event A (liking pineapple), P(B) is the probability of event B (liking pepperoni), and P(A and B) is the probability of both events occurring at the same time (liking both pineapple and pepperoni).

Plugging in the given probabilities, we get:

P(Pineapple or Pepperoni) = P(Pineapple) + P(Pepperoni) - P(Pineapple and Pepperoni)

P(Pineapple or Pepperoni) = 0.40 + 0.88 - 0.54

P(Pineapple or Pepperoni) = 0.74 or 74%

Therefore, there is a 74% chance that a person will like either pineapple or pepperoni on their pizza.