Question

A cake shop bakes a variety of brownies. The top-selling brownies are ones with toppings of chocolate chip, walnuts, or both. A customer enters the store. The probability that the customer will pick both toppings is 0.4. What is the probability that they will pick neither the chocolate chip nor the walnut toppings?

Answer 1

Answer:

The probability that they will pick neither the chocolate chip nor the walnut toppings is 0.3.

Step-by-step explanation:

The explanation of this is,

If we assume, the total of all probabilities is 1.00 (100%).

As we see in the Venn diagram given below, there are the probabilities of 0.2, 0.4 and 0.1;

Now, if we sum these together, we get

0.2+0.4+0.1 = 0.6+0.1 = 0.7.

Now, if we deduct the total of the sum from the total of all probabilities, we get,

1.00-0.7 = 0.3

0.3 is actually the remaining probability of neither of the toppings on the cakes.