Two six-sided dice are rolled and their product

Destinee Bryan

Destinee Bryan

Answered question

2022-04-10

Two six-sided dice are rolled and their product is taken. How many elements are in the subset of even numbers?

Answer & Explanation

Kaitlynn Craig

Kaitlynn Craig

Beginner2022-04-11Added 13 answers

Step 1
When two six-sided dice are rolled the sample space is as shown below
(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)
Step 2The subset of the elements where the product is even is shown below
[(1,2),(1,4),(1,6),(2,1)(2,2)(2,3),(2,4)
(2,5),(2,6),(3,2),(3,4),(3,6),(4,1),(4,2)
(4,3),(4,4),(4,5),(4,6),(5,2),(5,4),(5,6)
(6,1),(6,2),(6,3),(6,4),(6,5).(6,6)]
Therefore of elements in the subset of even numbers=27

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