section 5.3 homework score: 4/13 answered: 4/13 question 5 suppose that 15% of people own dogs. if you pick…

section 5.3 homework score: 4/13 answered: 4/13 question 5 suppose that 15% 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 rounded to 4 places.

section 5.3 homework score: 4/13 answered: 4/13 question 5 suppose that 15% 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 rounded to 4 places.

Answer

Explanation:

Step1: Convert percentage to decimal

The probability that a single - person owns a dog is $p = 0.15$.

Step2: Use multiplication rule for independent events

Since the events of two randomly - selected people owning a dog are independent, the probability that both own a dog is $P=p\times p$. $P = 0.15\times0.15=0.0225$

Answer:

$0.0225$