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2 answers:
solution:
Probability that Elena wins =
Total Possible outcome =36
Total favorable outcome = 6
As given , Marta has a lower probability of winning than Elena has.
For Marta to win the game:
As Total Possible outcome will remain same i.e 36. and Total favorable outcome must be < 6.
We will start from option
1. Rolling a sum of 7
Total Favorable outcome = { (1,6),(2,5),(3,4),(4,3),(5,2),(6,1)}
Total favorable outcome =6
→Marta can't win from Elena in this case.
2. Rolling a sum of 6
Total Favorable outcome ={(1,5),(5,1),(2,4),(4,2),(3,3)}=5
So, in this case Marta will win.
3. Rolling a sum of 2 or a sum of 9
Total Favorable outcome ={(1,1),(4,5),(5,4),(6,3),(3,6),}=5
So, in this case also Marta can win.
4. Rolling a sum that is greater than 9={10,11,12}
Total Favorable outcome ={(5,5),(5,6),(6,5),(6,6)}=4
So, in this case also Marta can win.
5. Rolling a sum that is greater than 2 but less than 5=Getting sum as 3 and 4.
Total favorable outcome = {(1,2),(2,1),(2,2)}=3
So, in this case also Marta can win.
→→In the 5 cases given , in (2),(3),(4),and (5) Marta will win , because in all the cases, Total favorable outcome ≤ 6, not greater than 6.
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