Question

charity is ordering pizza at a restaurant, and the server tells her that she can have up to five toppings: ham, pepperoni, pineapple, steak, and tomatoes. Since she cannot decide how many of the toppings she wants, she tells the server to surprise her. if the server randomly chooses which toppings to add, what is the probability that charity gets just pineapple? express your answer as a fraction or a decimal number rounded to four decimal places.

Answer 1

The probability that Charity gets a pizza with just pineapple out of up to five possible toppings is 1/31, or approximately 0.0323 when rounded to four decimal places.

Step-by-step explanation:

When Charity is ordering pizza and can choose up to five toppings, and the server randomly decides to include only one specific topping i.e., pineapple, we're looking at a problem of calculating probability. We are not considering combinations of multiple toppings, just the chance of getting a pizza with only pineapple as a topping.

To calculate this, we consider the probability of the event 'just pineapple' among all possible events. With the toppings being ham, pepperoni, pineapple, steak, and tomatoes, there are 25 (or 32) possible combinations of toppings Charity could receive. This is because each topping has two possibilities - it can either be on the pizza (1) or not on the pizza (0).

However, the question specifies that Charity is getting a surprise pizza with at least one topping and up to five, so we must exclude the possibility of a pizza with no toppings. This leaves us with 31 potential topping combinations.

Out of these 31, only one combination will have just pineapple as the topping. Thus, the probability that Charity gets a pizza with just pineapple is 1/31. As a decimal, this is approximately 0.0323 when rounded to four decimal places.