Question

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 (to at least 4 places).

Answer 1

bet event A denotes that a person owns dog P(A) = 15%. = 15 100 = 0.15 that If we pack two they both own people at random then probability dog PCA). PIA) 0.15 0.15 0.0225 required probability = 10:0225

Answer 2

SOLUTION :

p = 0.15 (own a dog)

q = 0.85 (not own a dog)

So, 

P( 2 of 2 own dogs) = 2C2 * p^2 * q^0 =1 *  0.15^2 * 0.85^0  = 0.0225 (ANSWER).