Write sample 'S' and number of sample point n(S) for each of the following experiments. Also write events A, B, C in the set form and write n(A), n(B), n(C). 2) Two dice are rolle simultaneously, Event A:The sum of the digits on upper faces is a multiply of 6.
Event B:The sum of the digits on the upper faces is minimum 10.
Event C:The same digit on both the upper faces.
Answers
Answer:
n(S) = 36, n(A) = 6 ,n(B) = 6, n(C) = 6
Step-by-step explanation:
the sample space
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.
Condition for event A: The sum of the digits on upper faces is a multiple of 6.
= A ={(1,5), (2,4), (3,3), (4,2) ,(5,1) ,(6,6)}
n(A) = 6.
Condition for event B :The sum of the digits on upper faces is minimum 10.
B= {(4,6), (5,5), (5,6), (6,4), (6,5) ,(6,6)}
n(B) = 6
Condition for event C: The same digit on both the upper faces.
C= {(1,1), (2,2) , (3,3) ,(4,4) ,(5,5) ,(6,6)}
n(C) = 6