Question

Every​ morning, my neighbor goes out walking. I observe that​ 20% of the time she walks with her​ beagle, 70% of the time she walks with her golden​ retriever, and​ 30% of the time she walks alone. Determine whether the following statement is true or false. We could find the probability of walking with a dog by adding P ( beagle )P(beagle) and P ( golden retriever )P(golden retriever).

Answer 1

The statement is false. The probability of walking with a dog is calculated by adding the probabilities of walking with each type of dog.

Step-by-step explanation:

The statement is false. In order to find the probability of walking with a dog, we need to add the individual probabilities of walking with each type of dog. So the correct calculation would be P(beagle) + P(golden retriever), not multiplying the probabilities. Let's do the calculation:

P(beagle) = 20% = 0.2

P(golden retriever) = 70% = 0.7

P(walking with a dog) = P(beagle) + P(golden retriever) = 0.2 + 0.7 = 0.9

Therefore, the probability of walking with a dog is 0.9 or 90%.