Question

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Answer 1

`P(Sum = 9) = (1)/(9)`

Explanation:

Given

Outcomes of rolling two dice

Required

P(Sum = 9)

From the given outcomes, we have:

`n(S) = 36` -- the sample size

`Sum = 9:=\{(3,6),(4,5),(5,4),(6,3)\}`

So.

`n(Sum = 9) = 4`

The probability is:

`P(Sum = 9) = (n(Sum = 9))/(n(S))`

`P(Sum = 9) = (4)/(36)`

Simplify

`P(Sum = 9) = (1)/(9)`