suppose that 49% of people own dogs. if you pick two people at random, what is the probability that they…

suppose that 49% 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

suppose that 49% 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

Answer

Explanation:

Step1: Identify probabilities

The probability that one person owns a dog is $p = 0.49$.

Step2: Use multiplication rule for independent events

Since the two - person selection is random, the events are independent. The probability that both own a dog is $p\times p$. $0.49\times0.49=0.2401$

Answer:

$0.2401$