Find the indicated probability by using the general addition rule. When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 4.

The probability that either doubles are rolled or the sum of the dice is 4

= (8/36) = (2/9) = 0.2222

Step-by-step explanation:

The total sample space = 36

For the probability that either doubles are rolled or the sum of the dice is 4.

The possible sample spaces for this event include

Doubles - (1,1) (2,2) (3,3) (4,4) (5,5) (6,6)

Sum of dice is 4 - (1,3) (2,2) (3,1)

The total possible spaces - (1,1) (2,2) (3,3) (4,4) (5,5) (6,6) (1,3) (3,1) (the possible outcome (2,2) appears twice, So, it is written as one possible outcome)

The total number of these possible outcomes = 8

Total sample space = 36

the probability that either doubles are rolled or the sum of the dice is 4

= (8/36) = (2/9) = 0.2222

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