Answer to Question #483 in Statistics and Probability for Barclay

Question

When it is more likely to guess a result: if it is known that the sum of the points when throwing two dices is 7 or 10?

Answer 1

There are 6 ways to get 7 points when throwing two dices: (1, 6), (6, 1), (2, 5), (5, 2), (3, 4), (4, 3). And there are 3 ways to get 10 points when throwing two dices: (4, 6), (6, 4) and (5, 5). Thus, it is more likely to guess the result if it is known that the sum of the points is 10. The probability is: P=1/3.