i) Are these events independent? If so, why? If not, why?

ii) What is the probability of the sum of two dice is 5 and the sum of the dice is 11?

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1 Answer

There are 4 ways the sum of the dice is 5: 1+4, 4+1 and 2+3 and 3+2, out of 36 possible outcomes.

There are only two ways the sum of the dice is 11: 5+6 and 6+5.

(i) The probabilities are different but one event cannot be said to cause the other. In that sense they are independent. 

(ii) The probability of the sum of 5 is 4/36=1/9. The probability of the sum of 11 is 2/36=1/18.


by Top Rated User (781k points)

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