Question

FAN AND MEDAL
Suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats.

What is the theoretical probability that the family has two dogs or two cats?
Describe how to use two coins to simulate which two pets the family has.

Answer 1

yes you can use 2 coins to simulate this
the possible results from tossing 2 coins together is
HH, HT TH and HH or if you like DD, DC , CD or CC for cats and dogs.
and the theoretical probability of each is 1/4
since these 4 are all equally likely .
So what do you think the theoretical probability of 2 dogs or 2 cats is?
i

Answer 2

P(DD) = 1/4 , P(CC) = 1/4

Answer 3

P(CC or DD) = ?

Answer 4

or you can look at it another way - DD and CC are 2 out of the 4 possible outcomes
so ?

Answer 5

HOLD ON thers a mistake there
the order of cat and dog does not matter
so there are 3 possibilities
DD, DC and CC

making the theoretical property of each of these = 1/3

so P(DD or CC) = ?