Zaid has a peculiar pair of four-sided dice. When he rolls the dice, the probability of any particular outcome is proportional to the sum of the results of each die, i-e, for any outcome (i, j), 1 i, j 4, P (i, j) = (i + j) p, where p is the constant of proportionality. All outcomes that result in a particular sum are equally likely. (a) What is the probability of the sum being even? (b) What is the probability of Bob rolling a 2 and a 3, in any order?

  a)     b)

Step-by-step explanation:

a) In order to get an even number, you have the 3 different scenarios:

1) Even, Even, Even, Even    

2) Even, Even, Odd, Odd  

3) Odd, Odd, Odd, Odd  

Order doesn't matter

Add them up to get your

b) If one die is a 2 and another is a 3 and the other two dice can be any number, then you have 1 possibility for a 2, 1 possibility for a 3, and 6 possibilities for each of the other two dice.

its 8

step-by-step explanation: