Question

A survey on favorite pizza topping was given: 33% said cheese was their favorite topping, 25% said pepperoni, 15% said sausage, and 27% said other. If two people are picked at random and replaced, what is the probability of picking two people that like cheese? Round your answer to a whole number.

a. 0%
b. 11%
c. 33%
d. 66%

Answer 1

The probability of picking two people that both like cheese as their favorite pizza topping is b. 11%, after rounding to a whole number.

Step-by-step explanation:

The question asks for the probability of picking two people that like cheese as their favorite pizza topping given the probabilities for each topping preference. Since 33% of the surveyed population prefers cheese, the probability of one person picked at random preferring cheese is 0.33. The event of picking two such people is independent because the people are picked with replacement. Therefore, the probability of both events occurring is found by multiplying the probabilities of each event happening separately:

P(both like cheese) = P(first person likes cheese) × P(second person likes cheese)

= 0.33 × 0.33

= 0.1089.

When rounded to a whole number, this gives us a probability of 11%.

Therefore, the answer is (b) 11%.