A pair of 4 sided dice with numbers 1 to 4 on their sides are rolled. and the numbers facing down is observed
a. list the sample space. [ = 4[sup:2uiq0x38]2[/sup:2uiq0x38] = 16] Sample space [(1[sub:2uiq0x38]1[/sub:2uiq0x38], 1[sub:2uiq0x38]2[/sub:2uiq0x38]), (1[sub:2uiq0x38]1[/sub:2uiq0x38],2[sub:2uiq0x38]2[/sub:2uiq0x38]),(1[sub:2uiq0x38]1[/sub:2uiq0x38],3[sub:2uiq0x38]2[/sub:2uiq0x38]),(1[sub:2uiq0x38]1[/sub:2uiq0x38],4[sub:2uiq0x38]2[/sub:2uiq0x38]), (2[sub:2uiq0x38]1[/sub:2uiq0x38], 1[sub:2uiq0x38]2[/sub:2uiq0x38]), (2[sub:2uiq0x38]1[/sub:2uiq0x38],2[sub:2uiq0x38]2[/sub:2uiq0x38]),(2[sub:2uiq0x38]1[/sub:2uiq0x38],3[sub:2uiq0x38]2[/sub:2uiq0x38]),(2[sub:2uiq0x38]1[/sub:2uiq0x38],4[sub:2uiq0x38]2[/sub:2uiq0x38]), (3[sub:2uiq0x38]1[/sub:2uiq0x38], 1[sub:2uiq0x38]2[/sub:2uiq0x38]), (3[sub:2uiq0x38]1[/sub:2uiq0x38],2[sub:2uiq0x38]2[/sub:2uiq0x38]),(3[sub:2uiq0x38]1[/sub:2uiq0x38],3[sub:2uiq0x38]2[/sub:2uiq0x38]),(3[sub:2uiq0x38]1[/sub:2uiq0x38],4[sub:2uiq0x38]2[/sub:2uiq0x38]), (4[sub:2uiq0x38]1[/sub:2uiq0x38], 1[sub:2uiq0x38]2[/sub:2uiq0x38]), (4[sub:2uiq0x38]1[/sub:2uiq0x38],2[sub:2uiq0x38]2[/sub:2uiq0x38]),(4[sub:2uiq0x38]1[/sub:2uiq0x38],3[sub:2uiq0x38]2[/sub:2uiq0x38]),(4[sub:2uiq0x38]1[/sub:2uiq0x38],4[sub:2uiq0x38]2[/sub:2uiq0x38])]
b. Describe each of the following as a subset of the following sample space.
i. both numbers are even
ii. at least one number is even
iii. Neither number is less than or equal to 2
iv. the sum of the numbers is 6 .. Sample space [ 2[sub:2uiq0x38]1[/sub:2uiq0x38],4[sub:2uiq0x38]2[/sub:2uiq0x38]) ,(3[sub:2uiq0x38]1[/sub:2uiq0x38],3[sub:2uiq0x38]2[/sub:2uiq0x38] (4[sub:2uiq0x38]1[/sub:2uiq0x38],2[sub:2uiq0x38]2[/sub:2uiq0x38]) ]
v. the sum of the numbers is greater than or equal to 5 ... Sample space [ (1[sub:2uiq0x38]1[/sub:2uiq0x38],4[sub:2uiq0x38]2[/sub:2uiq0x38]), (2[sub:2uiq0x38]1[/sub:2uiq0x38],3[sub:2uiq0x38]2[/sub:2uiq0x38]),(2[sub:2uiq0x38]1[/sub:2uiq0x38],4[sub:2uiq0x38]2[/sub:2uiq0x38]), (3[sub:2uiq0x38]1[/sub:2uiq0x38],2[sub:2uiq0x38]2[/sub:2uiq0x38]),(3[sub:2uiq0x38]1[/sub:2uiq0x38],3[sub:2uiq0x38]2[/sub:2uiq0x38]),(3[sub:2uiq0x38]1[/sub:2uiq0x38],4[sub:2uiq0x38]2[/sub:2uiq0x38]), (4[sub:2uiq0x38]1[/sub:2uiq0x38], 1[sub:2uiq0x38]2[/sub:2uiq0x38]), (4[sub:2uiq0x38]1[/sub:2uiq0x38],2[sub:2uiq0x38]2[/sub:2uiq0x38]),(4[sub:2uiq0x38]1[/sub:2uiq0x38],3[sub:2uiq0x38]2[/sub:2uiq0x38]),(4[sub:2uiq0x38]1[/sub:2uiq0x38],4[sub:2uiq0x38]2[/sub:2uiq0x38])]
vi the numbers are the same
vii. 2 or 3 occurs but not both 2 and 3
viii. No. 4 appears
****I've already solved for a and i, iii, and vi. I just need help with the rest **********
Any help would be great!
