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<u>ANSWER: </u>
The probability that sum of numbers rolled is either 5 or 12 is
<u>SOLUTION: </u>
Given, Two dice are rolled.
We have to find what is the probability that the sum of numbers rolled is either 5 or 12
We know that, probability of an event =
Now, total outcomes for two dices = 6 for 1st dice x 6 for 2nd dice = 6 x 6 = 36.
Now, favourable outcomes = sum is 5 + sum is 12
= 4[(1,4), (2,3), (3, 2), (4, 1)] + 1[(6,6)]
= 5 total favourable outcomes.
Now, probability = 5/36
Hence, the probability that sum is either 5 or 12 is 5/36.
We can write two division problems related the given equation as follows.
Division problem one :
Here 8 is in multiplication with -2 on the left side.
so when we bring this 8 on the right side, we will have to apply opposite operation of multiplication which is division.
so dividing (-16) by 8 on the right side, we have:
Division problem two :
Here -2 is in multiplication with 8 on the left side.
so when we bring this (-2) on the right side, we will have to apply opposite operation of multiplication which is division.
so dividing (-16) by (-2) on the right side, we have: