Suppose that 65% 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 1

Pr(D) = .65

Pr(2 people own a dog) = (.65)^2 = .4225 = 42.25%

That's assuming a relatively large population of people

If you had a relatively "smaller" population such as 100 people with 65 dog owners,

then P(2D) = (65/100)(64/99) = .4202 = 42.02%

if you had 650 dog owners in a group of 1000 then

Pr(2D) = (.65)(649/999) = .4223 = 42.23%