Result Frequency

Heads, Heads 12
Heads, Tails 12
Tails, Heads 17
Tails, Tails 9
Total 50
The experimental probability of them having two dogs or two cats is 42%
If the family has three pets, what is the theoretical probability that they have three dogs or three cats?

1 answer

To find the theoretical probability of the family having three dogs or three cats, we need to consider all the possible outcomes.

There are 2 possibilities for each pet: dog or cat.

So, the total number of possible outcomes for three pets is 2 * 2 * 2 = 8.

For three dogs: There is only 1 way for the family to have three dogs.

For three cats: There is also only 1 way for the family to have three cats.

Therefore, the total number of favorable outcomes is 1 + 1 = 2.

The theoretical probability of the family having three dogs or three cats is 2 favorable outcomes / 8 total possible outcomes = 1/4 = 25%.