Question

2) The faces of a die bears numbers 0,1,2,3,4,5.If the

die is rolled twice,then find the Probability of each of

the following events.

a) The product of digits on the upper face is zero.

b) The product of digits on the upper face is

completing Square.

c) Sum of the digits on the upper face is 11​

Answer 1

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Step-by-step explanation:

S={(0,0),(0,1),(0,2),(0,3),(0,4),(0,5),(1,0),(1,1),(1,2),(1,3),(1,4),(1,5),(2,0),(2,1),(2,2),(2,3),(2,4),(2,5),(3,0),(3,1),(3,2),(3,3),(3,4),(3,5),(4,0),(4,1),(4,2),(4,3),(4,4),(4,5),(5,0),(5,1),(5,2),(5,3)(5,4),(5,5)}

n(S)=36

A={(0,0),(0,1),(0,2),(0,3),(0,4),(0,5),(1,0),(2,0),(3,0),(4,0),(5,0)}

n(A)=11

therefore p(A)=11/36

B={(1,1),(2,2),(3,3),(4,4),(5,5),(0,0)}

n(B)=6

p(B)=6/36=1/6

C={ }

n(C)=0

p(C)=0/36=0