Question

Find the probability distribution of the sum of the dots when two

fair dice are thrown?

a) Use the probability distribution to find the probabilities of obtaining a sum

that is greater than 5 or less than 10?​

Answer 1

Answer:

Since a die has only 6 faces with the maximum face value of 6, using common sense/logic is the quickest way.

P(sum of 8)= 5/36 [2,6 ; 6,2 ; 3,5 ; 5,3 ; 4,4]

P(sum of 11) =2/36 [6,5 ; 5,6]

P ( sum of 8 or 11) = 5/36+2/36 = 7/36