Question

Rolling Dice Two dice are rolled.
a) Determine the number of points in the sample space.
b) Construct a tree diagram and list the sample space. Determine the probability that
c) a double (a 1, 1 or 2, 2, etc.) is rolled.
d) a sum of 7 is rolled.
e) a sum of 2 is rolled.
f) Are you as likely to roll a sum of 2 as you are of rolling a sum of 7? Explain your answer.

Answer 1

a tree diagram is a bad way to do this. fill in the following table, and count

Answer 2

you will see you have \(6\times 6=36\) elements in the sample space
if you want to know the probability of any specific event, count how many you have

Answer 3

then divide the result by 36

Answer 4

it had to be a tree diagram she just want us to do one as tree diagram

Answer 5

for example, if you want the probability you roll a 6, count how many times the total in the table is 6
you will see that there are 5 of them, namely (1,5), (2,4), (3,3), (4,2), (5,1)
so your answer would be \(\frac{5}{36}\)

Answer 6

then i guess you have to draw one
it will be large and ugly because there will be 36 end points

Answer 7

i can see if there is one that ueasy cause I don't no how to do one