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

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

We have

the total of all probabilities is 1.00, or 100%.

In the Venn diagram, we have the probabilities 0.2, 0.4 and 0.1; these sum to

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

This leaves us 1.00-0.7 = 0.3 for the remaining probability of no toppings.

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