Question

4.3 conditional probability. at least. suppose that 48% of people own dogs. if you pick two people at random, what is the probability that they both own a dog? give your answer as a decimal (to at least 3 places) or fraction

Explanation:

Step1: Identify the probability of one - person owning a dog

The probability that a single person owns a dog is $p = 0.48$.

Step2: Use the multiplication rule for independent events

Since the events of two randomly - picked people owning dogs are independent, the probability that both own a dog is $P = p\times p$. Substitute $p = 0.48$ into the formula, so $P=0.48\times0.48$.

Step3: Calculate the result

$P = 0.48\times0.48=0.2304$.

Answer:

$0.2304$