A pizza parlor has 13 different toppings available for its pizzas, and 2 of these toppings are pepperoni and anchovies. If a customer picks 2 toppings at random, find the probability that neither topping is anchovies.
11/13 * 10/12
If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
12/13 * (12-1)/(13-1) = ?
(Assuming that the person does not want a double portion of any topping)
To find the probability that neither topping is anchovies, we need to determine the total number of possible outcomes and the number of favorable outcomes.
First, let's calculate the total number of possible outcomes. When the customer picks 2 toppings, there are 13 options available for the first topping. After the first topping is selected, there are 12 options left for the second topping. Thus, the total number of possible outcomes is 13 * 12 = 156.
Next, we need to calculate the number of favorable outcomes, i.e., the toppings that are not anchovies. Since there are 2 toppings that are anchovies, there are 13 - 2 = 11 toppings that are not anchovies.
Now, we'll calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 11 / 156 ≈ 0.0705
Therefore, the probability that neither topping is anchovies is approximately 0.0705, or 7.05%.