Question

Suppose that 23% of people own dogs If you pick two people at random, what

is the probability that they both own a dog? (Let me add that we don’t know the
populations size so calculate the probability as if the population is infinite.)

Answer 1

The correct answer is - 0.0529 or 5.29%

Explanation:

Given:

The people own dogs = 23%

total population = infinite

Solution:

if you choose a random person, the probability that they own a dog

= 23% or 0.23.

If you pick two people at random then the probability would be:

P(Both the people own dogs) = P(first person own dogs)*P(second person own dogs)

So the probability is as calculated:

P(Both the people own dogs)

= 0.23*0.23

= 0.0529 or 5.29%