8 9 10 11 12 13 14 15 16 17 18 19 20You and two friends (Adam and Alana) wonly play a game if it is fair for all three of you. T
he game your friend hasproposed to roll two number cubes (numbered 1-6) and find the sum. If the sum is from 1.4 you get the point. 5-8is Adam gets the point, and 9-12 lana gets the point.Is this game fair for all three of you?Who has the best advantage?TURN IT INASK FOR HELPNET QUESTION
The idea is that there could be more than one way for a roll of the dice to land with the same number.
-- If the sum is from 1-4, you get the point. There are 6 different ways for a roll of the dice to come up 1-4.
-- If the sum is from 5-8, Adam gets the point. There are 20 different ways for a roll of the dice to come up 5-8.
-- If the sum is 9-12, Lana gets the point. There are 10 different ways for a roll of the dice to come up 9-12.
-- The game is not fair to all three of you. -- Lana has a distinct advantage over you. -- Adam has a big advantage over Lana. -- Adam has an even bigger advantage over you. -- You are at a big disadvantage. (Notice that one of your numbers ... 1 ... can never come up unless one of the dice falls off of the table.) _______________________________
Here's how to figure it:
Ways to roll a 2: 1 ... 1
Ways to roll a 3: 1 ... 2 2 ... 1
Ways to roll a 4: 1 ... 3 2 ... 2 3 ... 1
Ways to roll a 5: 1 ... 4 2 ... 3 3 ... 2 4 ... 1
Ways to roll a 6: 1 ... 5 2 ... 4 3 ... 3 4 ... 2 5 ... 1
Ways to roll a 7: 1 ... 6 2 ... 5 3 ... 4 4 ... 3 5 ... 2 6 ... 1
Ways to roll an 8: 2 ... 6 3 ... 5 4 ... 4 5 ... 3 6 ... 2
Parents from the four ESO courses attend a school assembly. A quarter of the parents are from 1st ESO, a tenth are from 2nd ESO, a quarter are from 3rd ESO and 56 parents are from 4th ESO. a) How many parents attended the assembly? b) How many parents from 1ºESO attended the assembly? c) How many parents of 2nd ESO attended the assembly? d) How many 3rd grade parents attended the assembly?