A survey among US adults of their favorite toppings on a cheese pizza reported that 43% favored pepperoni, 14% favored mushrooms, and 6% favored both pepperoni and mushrooms. What is the probability that a random adult favored pepperoni or mushrooms on their cheese pizza? Provide your answer as a whole number in the box below, i.e., .32 is 32% so you would enter 32. Round as needed.
two students recently took a statistics for the behavorial test . the students are at different schools but wanted to compare their performance. The first student scored 80 on the test. Her class average was 50 with a standard deviation of 10. Which student did better?
THE FIRST STUDENT
To find the probability that a random adult favored pepperoni or mushrooms on their cheese pizza, we can use the principle of inclusion-exclusion.
First, let's determine the probability of favoring pepperoni. Based on the survey, 43% favored pepperoni.
Next, let's determine the probability of favoring mushrooms. According to the survey, 14% favored mushrooms.
However, we need to exclude the double-counting of those who favored both pepperoni and mushrooms. According to the survey, 6% favored both pepperoni and mushrooms.
To calculate the probability of favoring either pepperoni or mushrooms, we can add the probabilities of favoring each topping and subtract the probability of favoring both toppings:
P(Pepperoni or Mushrooms) = P(Pepperoni) + P(Mushrooms) - P(Pepperoni and Mushrooms)
P(Pepperoni or Mushrooms) = 43% + 14% - 6%
P(Pepperoni or Mushrooms) = 51% - 6%
P(Pepperoni or Mushrooms) = 45%
Therefore, the probability that a random adult favored pepperoni or mushrooms on their cheese pizza is 45%.