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Question

Jason rolls a dice once, if he gets a number greater than 5, he will roll the two dices again, if the sum of the two dices is greater than the previous number he got, he wins. What is the probability of him winning?

Answer 1

P(greater than 5) = 1/6

sample spce for sum of 2 dice =

 

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

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

(3,3) (3,4) (3,5) (3,6),

(4,4) (4,5) (4,6),

(5,5) (5,6),

(6,6)} =21

 

sample space  for sum of 2 dice greater than or equal to 6 =

{(1,5),(1,6),

(2,4),(2,5),(2,6),

(3,3), (3,4),(3,5),(3,6)    

(4,4),(4,5),(4,6),

(5,5),(5,6)} = 14

 

p(sum greater than or equal to 6 ) =14/21

 p(winning) = 1/6 * 14/21 = 14/126 =7/63 =1/9