SOLUTION: A pair of dice is rolled. list the element of the sample space S. let A denote the event "the sum is less than 5" and B the event that "a 6 occurs on either die". list the element

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Question 1125318: A pair of dice is rolled. list the element of the sample space S. let A denote the event "the sum is less than 5" and B the event that "a 6 occurs on either die". list the element of corresponding to event A and to event B.
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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The elements of the sample space S are all ordered pairs (m,n) of integer numbers 1 <= m <=6 and 1 <= n <= 6.

In all, there are 6*6 = 36 such pairs. 


    The set A is this:  { (1,1), (1,2), (2,1), (1,3), (2,2), (3,1) }.  It contains 6 elements  (6 pairs with the sum <= 4).


    The set B is this:  { (6,6) }.   It contains  only one element (one pair).


Answered and solved.