Complete question :
In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 1 on at least one of the number cubes. Make a list of all the different possible outcomes when two number cubes are rolled. (2 points for listing all of the possible outcomes) What fraction of the possible outcomes is favorable? (1 point for the correct numerator/1 point for the correct denominator) Suppose you rolled the two number cubes 100 times, would you expect at least one 1 more or less than 34 times? Explain. (1 point for your explanation)
Answer:
11 / 36
Explanation:
Sample space for rolling 2, 6 - sided number cubes :
Total sample space = (number of sides)^x
x = number of rolls
6² = 36 = sample space
From sample space, numbers pairs with atleast 1 on bith cubes ; 1,1 ; 1,2 ; 1,3 1,4 ; 1,5; 1,6 ;
2,1 ; 3,1 ; 4,1 ; 5,1 ; 6,1 = required outcome
P = required outcome / Total possible outcomes
P = 11 / 36