In: Statistics and Probability
What is the probability of winning the lottery "6 out of 49"
with a single ticket
a) a “six”, b) a “five”, c) a “four”, d) a “three”,
e) to score at least one “three”?
f) How many bills do you have to tick to have at least one
“five”?
a) a “six”,
0.1714
b) a “five”,
0.1675
c) a “four”,
0.1334
d) a “three”,
0.0831
e) to score at least one “three”?
0.9490
f) How many bills do you have to tick to have at least one
“five”?
36
49 | n | |
0.12 | p | |
cumulative | ||
X | P(X) | probability |
0 | 0.0017 | 0.0017 |
1 | 0.0114 | 0.0130 |
2 | 0.0380 | 0.0510 |
3 | 0.0831 | 0.1342 |
4 | 0.1334 | 0.2676 |
5 | 0.1675 | 0.4351 |
6 | 0.1714 | 0.6065 |
7 | 0.1469 | 0.7535 |
8 | 0.1076 | 0.8611 |
9 | 0.0684 | 0.9295 |
10 | 0.0382 | 0.9677 |
11 | 0.0189 | 0.9866 |
12 | 0.0083 | 0.9950 |
13 | 0.0033 | 0.9983 |
14 | 0.0012 | 0.9995 |
15 | 0.0004 | 0.9998 |
16 | 0.0001 | 1.0000 |
17 | 0.0000 | 1.0000 |
18 | 0.0000 | 1.0000 |
19 | 0.0000 | 1.0000 |
20 | 0.0000 | 1.0000 |
21 | 0.0000 | 1.0000 |
22 | 0.0000 | 1.0000 |
23 | 0.0000 | 1.0000 |
24 | 0.0000 | 1.0000 |
25 | 0.0000 | 1.0000 |
26 | 0.0000 | 1.0000 |
27 | 0.0000 | 1.0000 |
28 | 0.0000 | 1.0000 |
29 | 0.0000 | 1.0000 |
30 | 0.0000 | 1.0000 |
31 | 0.0000 | 1.0000 |
32 | 0.0000 | 1.0000 |
33 | 0.0000 | 1.0000 |
34 | 0.0000 | 1.0000 |
35 | 0.0000 | 1.0000 |
36 | 0.0000 | 1.0000 |
37 | 0.0000 | 1.0000 |
38 | 0.0000 | 1.0000 |
39 | 0.0000 | 1.0000 |
40 | 0.0000 | 1.0000 |
41 | 0.0000 | 1.0000 |
42 | 0.0000 | 1.0000 |
43 | 0.0000 | 1.0000 |
44 | 0.0000 | 1.0000 |
45 | 0.0000 | 1.0000 |
46 | 0.0000 | 1.0000 |
47 | 0.0000 | 1.0000 |
48 | 0.0000 | 1.0000 |
49 | 0.0000 | 1.0000 |
1.0000 | ||
6.000 | expected value | |
5.265 | variance | |
2.295 | standard deviation |