I just want to see if the answer in the book is a misprint. I got a different an

Question

I just want to see if the answer in the book is a misprint. I got a different answer than they did. essentially she's rolling 2 dice and needs to get a sum of 6 in the first roll and a sum of 10 on the next roll. What are the odds of this happening?

13. GAMES Beth is playing a board game that requires rolling two next turn cubes to move a game piece. She needs to sum on and then a sum of 10 to land on the next two bonus spaces. What is the probability that Beth will roll a sum of 6 and then a sum of 10 on her next two turns?

Explanation / Answer

The possible outcomes in the roll of two die

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

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

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

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

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

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

The favourable outcomes to get a sum of 6 is (1,5),(2,4),(3,3),(4,2),(5,1)

The probability of getting a sum of 6 is 5/36

The favourable outcomes to get a sum of 10 is (4,6),(5,5),(6,4)

The probability of getting a sum of 10 is 3/36

Since both are independent events of getting first a 6 and then a 10 so the probability will be 5x3/36^2=15/1296

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