Two diffrent dice are rolled simultaneously . Find the probability 1)that the number on each die is even 2)that the sum of numbers appearing on the two die is 5.
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Step-by-step explanation:
S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
n(S) = 36
E = {(2,2),(2,4),(2,6),(4,2),(4,4),
(4,6),(6,2),(6,4),(6,6)}
n(E) =9
P(E) =n(E)/n(S)
=9/36
=1/4
A = {(1,4),(2,3),(3,2),(4,1)}
n(A) =4
P(A) =n(A)/n(S)
=4/36
=1/9
P(E)=1/4 and P(A)=1/9
1)1/4
2)1/9
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