Probability Question

Question

Outcomes 1 through 3 are equally likely, that the outcomes 4 through 6 are equally likely, and that outcome 1 is two times as likely as outcome 4. (1) What probability should be assigned to rolling a 3? (2) What probability should be assigned to rolling a 4?

Answer 1

Mesa,

the probability distribution:

x: 1 2 3 4 5 6

p: 2p 2p 2p p p p

We have to find p first. If we have a sample space, the sum of the probabilities is 1, so 9p = 1 --> p =1/9

Now we can answer the questions:

a) p(3) = 2p = 2/9

b) p(4) = p = 1/9