you roll 2 dice. what is the probability that the sum of the dice is even OR the sum of the dice is less than 6? Probability is tricky for me!

Question

you roll 2 dice. what is the probability that the sum of the dice is even OR the sum of the dice is less than 6?  Probability is tricky for me!

anonymous · Answer

Trick For you...

anonymous · Answer

I think I figured it out:  is it 2/3?

anonymous · Answer

the sum of the dice is even ={(1,1),(1,3),(1,5),(3,1),(3,3)(3,5),(5,1)(5,3),(5,5),(2,2),(2,4),(2,6),((4,2),(4,4),(4,6),(6,2),(6,4),(6,6)}
OR the sum of the dice is less than 6 = {(1,1),(1,2),(1,3),(1,4),((2,1),(2,2),(2,3),(3,2),(4,1)}   ,,,,
p (the sum of the dice is even )= 18/36 = 1/2 , ,,,,,,,,,
p(the sum of the dice is less than 6) = 9/36=1/4
 ,,,,,,,,,


P(A and B) = 3/36=1/12
p(A or B) = p(a)+P(B) -P(a and B) = 1/2 +1/4 - 1/12 = 2/3