Question

Consider rolling two seven-sided numbered polyhendrons (sides labelled 1-7). 1. Summarise all the possible outcomes using a table format. 2 Calculate the probability of tossing a 4 and a 2, order is important. 3. What is the probability that the sum of the two numbers will be an even number? 4. What is the probability that the sum of the two numbers will be an odd number? 5. What is the probability that the sum of the two numbers will be a multiple of 4? 6. What is the probability that the sum of the two numbers will be less than 8? 7. What is the probability that the sum of the two numbers will be at most 8?

Answer 1

1. 	2	N	D	T	H	R	O	W
   		1	2	3	4	5	6	7
   	1	2	3	4	5	6	7	8
   	2	3	4	5	6	7	8	9
   	3	4	5	6	7	8	9	10
   1ST THROW	4	5	4+2=6	7	8	9	10	11
   	5	6	7	8	9	10	11	12
   	6	7	8	9	10	11	12	13
   	7	8	9	10	11	12	13	14

   Each cell represents an outcome of the number in the row with the number in the column. There are 49 cells, one for each outcome, and each cell is the sum of the two throws.
2. 1 out of the 49 cells has 4 followed by 2, so probability is 1/49.
3. 25 evens, 24 odds. Probability of even=25/49.
4. Probability of odd=24/49.
5. 13 sums divisible by 4: 4, 8, 12. Probability=13/49.
6. 21/49=3/7.
7. 28/49=4/7.