Question

Assume that 62% of the population owns dogs. If two people are randomly selected, determine the probability that both individuals own a dog. Present your answer either as a decimal rounded to at least three places or as a simplified fraction. Illustrate the steps involved in calculating this probability, considering the principles of probability theory and the random selection process.

Answer 1

To calculate the probability that both individuals own a dog, multiply the probability of the first person owning a dog by the probability of the second person owning a dog. In this case, the probability is 0.3844 or 38.44%.

Step-by-step explanation:

To calculate the probability that both individuals 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. Since 62% of the population owns dogs, the probability that a randomly selected person owns a dog is 0.62. Therefore, the probability that both individuals own a dog is 0.62 multiplied by 0.62, which is 0.3844 or 38.44% as a rounded decimal.