Probability Distribution of 6-Sided Die

**A 6-sided die is weighted so that 1,2, and 3 show up equally likely, 4, 5, 6 show up equally likely, and 4 shows up twice as often as 1.**

__a.__ Find the probability distribution for when this die is rolled.

**b.** What is the probability that, when this die is rolled, that an even number shows up? What is the probability that a prime number (2, 3, 5) shows up?

**My Answers:**

**a.** 1, 2, 3, 5, and 6 have the probability of 1/6 ... and 4 = 1/3

**b.** Probability an even number is rolled = 1/2 ... Odd number = 2/3

I'm taking a complete shot in the dark at this so any help would be appreciated. Is there any specific formula I should be using?