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 |