Question

Write the sample space 'S' and number of
sample points n(S) for each of the following
experiments. Also write events A, B in the set
form and write n(A) and n(B).
Two dice are rolled simultaneously.
EventA: The sum of the digits on the upper
faces is the multiple of 6.
Event B: The same digits on the both upper
faces.​

Answer 1

Answer:

Step-by-step explanation:

When two dice are rolled simultaneously, sample space would be:

(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

Event A can be written is set form as A = {(1,5), (2,4), (3,3), (4,2), (5,1), (6,6)}

n(A) = 6

Event B can be written in set form as B = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}

n(B) = 6

Thanks

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