The sample space of equally likely outcomes for the experiment of rolling two fair dice is :
| 11 |
12 |
13 |
14 |
15 |
16 |
| 21 |
22 |
23 |
24 |
25 |
26 |
| 31 |
32 |
33 |
34 |
35 |
36 |
| 41 |
42 |
43 |
44 |
45 |
46 |
| 51 |
52 |
53 |
54 |
55 |
56 |
| 61 |
62 |
63 |
64 |
65 |
66
|
Identify the events N: the sum is at least nine, T: at least one of the dice is a two, and F: at least one of the dice is a five.
a.) Find P(N).
b.) Find P(N I F).
c.) Find P(N I T).
d.) Determine from the previous answers whether or not the events N and F are independent; whether or not N and T are.