The probability that a randomly selected american
household owns at least one dog is 43%. the probability that
the household owns at least one cat is 31%. the probability that
the household owns either a dog or cat is 57%. what is the
probability that the household own both a cat and a dog?
a 12%
b.17%
0.37%
d. 131%

B.  17%.

Step-by-step explanation:

The General Probability Addition Rule is

P(A∪B) = P(A) + P(B) − P(A∩B)   where P(A∪B) = P(A) or P(B)  and P(A∩B) = P(A) and P(B).

So applying this to our problem we have:

0.57 = 0.43 + 0.31 - P( household has a cat and a dog)

so the answer is 0.43 + 0.31 - 0.57

= 0.17 or 17%.

3

step-by-step explanation:

divide 13.5 by 9 to get the scale factor. it equals 1.5

2 * 1.5 = 3

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12