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.
Either-or probabilities are found by adding the individual probabilities.
.43 + .14 = ?
.57
To find the probability that a random adult favored pepperoni or mushrooms on their cheese pizza, we need to add the individual probabilities of favoring pepperoni and mushrooms and then subtract the probability of favoring both toppings.
The probability of favoring pepperoni is 43% (or 0.43) and the probability of favoring mushrooms is 14% (or 0.14).
To find the probability of favoring both toppings, we need to multiply the probabilities of favoring pepperoni and mushrooms. Thus, the probability of favoring both pepperoni and mushrooms is 0.43 * 0.14 = 0.0602 or 6.02%.
Now, let's calculate the probability of favoring pepperoni or mushrooms:
Probability of favoring pepperoni + Probability of favoring mushrooms - Probability of favoring both = 0.43 + 0.14 - 0.0602 = 0.5098 or 50.98%.
Therefore, the probability that a random adult favored pepperoni or mushrooms on their cheese pizza is approximately 50.98%.