Suppose you are playing a game with two number cubes. Let A represent rolling 2, 3, or 4, and B represent rolling 1, 5, or 6. The probability of A is 1/2 and the probability of B is 1/2.
simplify (1/2A + 1/2B)
What is the probability that one number cube shows 2, 3, or 4, and the other shows 1, 5, or 6?

Question

Suppose you are playing a game with two number cubes. Let A represent rolling 2, 3, or 4, and B represent rolling 1, 5, or 6. The probability of A is 1/2 and the probability of B is 1/2.
 simplify (1/2A + 1/2B) 
 What is the probability that one number cube shows 2, 3, or 4, and the other shows 1, 5, or 6?

anonymous · Answer

@gezimbasha, Do you know how to do this? 
Im confused and Dont know how to start

anonymous · Answer

For the first part you have (1/2 * 1/2 + 1/2 * 1/2) = (1/4+1/4) = 1/2

For the second part we have.

There are 6*6=36 possible outcomes for two cubes. Now we want to know what is the probability on the first cube to show one of the numbers from set {2,3,4} and we know that it is 1/2. The same can be said for the second cube, so the final result is:

1/2*1/2 =1/4=25%

anonymous · Answer

Wow great job! thank you!! :)

anonymous · Answer

you're welcome! just let me know when you need help ;)