Question

In: Statistics and Probability

What is the probability of winning the lottery "6 out of 49" with a single ticket...

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”?

Solutions

Expert Solution

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

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