An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. what is the probability that the sum of the dots is 7 or 11?

a. 2/9

b. 5/18

c. 1/9

d. 7/36

my answer is c

2/9

Step-by-step explanation:

Firstly, we need to know the total number of sample space of tossing two fair die.

Since a die has 6 faces, the total sample space when 'n' dice are tossed is 6^n. Tossing 2 dies, the total sample space will be 6² where n=2 which is 36.

Total outcome = 36

Probability that the outcome gives 7 or 11 will be {(2,5), (5,2), (6,1), (1,6), (4,3), (3,4), (6,5), (5,6)}

Possible outcome is the total element in the set which is 8

Therefore probability that the sum of the dots is 7 or 11 will be possible outcome/total outcome

This will give 8/36 = 2/9

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step-by-step explanation:

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