Two dice are tossed once. Find the probability of getting an even number on the first die or a total of 8.

Options

A. 1/36`
B. `3/36`
C. `11/36`
D. `5/9`

Answer

D

Explanation

Let A = Event of getting even number of first die
= { 2,1)…..(2,6), (4,1)…(4,6),(6,1)….(6,6)}
and B = Event of getting a sum of 8
{ (2,6) , (3,5) , (4,4) , (5,3),(6,2)}
` A cap B ` = {(2,6) , (4,4) , (6,2)}
n (A) + 18 , n (B) = 5, n `(A capB)` = 3
` Rightarrow n (A cup B) = 18 + 5-3 =20`
` P (A cup B) = (n (A cup B))/(n(S)) = 20/36 = 5/9`