A die is numbered in such a way that its face shown the number 1,2,2,3,3,6. It is thrown two times and the total score in two throw is noted. Complete the following table which gives a few values of the total score on the throws:

What is the probbility that the total score is () even, (ii) at least 6 ?

Explanation

Total number of possible outcomes = 36
(i) Let `E_(1)` = event that total score is even.
`" "n(E_(1)) = 18`
P (total score is even ) = `(18)/(36) = (1)/(2)`
(iii) Let `E_(3)`= event that total socre is at least 6, i.e., 7,8,12.
`therefore " "n(E_(3)) = 15 `
P (total score is at least 6) `= (15)/(36) = (5)/(12)`