The probability of rolling a number greater than 1 on each cube is 5/6.
Given,
Two number cubes are rolled.
We need to find what is the probability of rolling a number greater than 1 on each cube
What is the sample space for rolling two cubes?
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)}
Find the total number of elements in the sample space.
= 36
Find the number of elements where both of the numbers in the element are greater than 1.
= (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)
= 30
Find the probability of rolling a number greater than 1 on each cube.
= Number of elements where both numbers are greater than 1 / total number of elements in the sample space.
= 30 / 36
= 5 / 6
Thus the probability of rolling a number greater than 1 on each cube is 5/6.
Learn more about the probability of dice here:
https://brainly.com/question/13000524
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