Question

suppose that 70% of people have dogs. if two people are randomly chosen, what is the probability that they both have a dog? write your answer as a percent and round to the nearest hundredth of a percent. there is a % chance the two randomly chosen people both have dogs.

Explanation:

Step1: Convert percentage to decimal

The probability that a single - person has a dog is $p = 70\%=0.7$.

Step2: Use the multiplication rule for independent events

Since the events of two people having dogs are independent, the probability that both have a dog is $P=p\times p$. Substitute $p = 0.7$ into the formula, we get $P=0.7\times0.7 = 0.49$.

Step3: Convert decimal to percentage

To convert the decimal to a percentage, multiply by 100. So $0.49\times100 = 49.00\%$.

Answer:

49.00%