Question

65% of people own a dog. what is the probability of picking 2 people that they both own a dog?

Answer 1

The probability of picking two people who both own a dog is 0.4225 or 42.25%.

Explanation:

To calculate the probability of picking two people who both own a dog, we can multiply the probability of the first person owning a dog by the probability of the second person owning a dog.

If 65% of people own a dog, the probability of the first person owning a dog is 65% or 0.65.

Since we are picking two people, assuming that each person's ownership of a dog is independent, we can use the multiplication rule for independent events.

Probability of both people owning a dog = Probability of the first person owning a dog × Probability of the second person owning a dog

= 0.65 × 0.65

= 0.4225

Therefore, the probability of picking two people who both own a dog is 0.4225 or 42.25%.

Answer 2

approximately 0.4225 or 42.25%.

Explanation:

To calculate the probability of picking two people who both own a dog, we need to multiply the probability of the first person owning a dog by the probability of the second person owning a dog.Given that 65% of people own a dog, the probability of an individual owning a dog is 0.65.So, the probability of picking two people who both own a dog is:P(Both owning a dog) = P(First person owning a dog) * P(Second person owning a dog)P(Both owning a dog) = 0.65 * 0.65P(Both owning a dog) = 0.4225Therefore, the probability of picking two people who both own a dog is approximately 0.4225 or 42.25%.