Maryland lottery In the MarylandPick-3 Lottery, three random digits are drawn each day. A fair game de-pends on every value (0 to 9) being equally likely to show up in all threepositions. If not, someone who detectsa pattern could take advantage of that.The table shows how many timeseach of the digits was drawn during arecent 32-week period, and some ofthem—4 and 7, for instance—seem to come up a lot. Could this just be a re-sult of randomness, or is there evi-dence the digits aren’t equally likely to occur? Digit Count0 621 552 663 644 755 576 717 748 699 61
Maryland lottery In the MarylandPick-3 Lottery, three random digits are drawn each day. A fair game de-pends on every value (0 to 9) being equally likely to show up in all threepositions. If not, someone who detectsa pattern could take advantage of that.The table shows how many timeseach of the digits was drawn during arecent 32-week period, and some ofthem—4 and 7, for instance—seem to come up a lot. Could this just be a re-sult of randomness, or is there evi-dence the digits aren’t equally likely to occur? Digit Count0 621 552 663 644 755 576 717 748 699 61
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Question
Maryland lottery In the Maryland
Pick-3 Lottery, three random digits
Pick-3 Lottery, three random digits
are drawn each day. A fair game de-
pends on every value (0 to 9) being
pends on every value (0 to 9) being
equally likely to show up in all three
positions. If not, someone who detects
a pattern could take advantage of that.
The table shows how many times
each of the digits was drawn during a
recent 32-week period, and some of
them—4 and 7, for instance—seem to
positions. If not, someone who detects
a pattern could take advantage of that.
The table shows how many times
each of the digits was drawn during a
recent 32-week period, and some of
them—4 and 7, for instance—seem to
come up a lot. Could this just be a re-
sult of randomness, or is there evi-
dence the digits aren’t equally likely
sult of randomness, or is there evi-
dence the digits aren’t equally likely
to occur?
Digit Count
0 62
1 55
2 66
3 64
4 75
5 57
6 71
7 74
8 69
9 61
0 62
1 55
2 66
3 64
4 75
5 57
6 71
7 74
8 69
9 61
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