A slot machine has 3 dials. Each dial has 30 positions, one of which is "Jackpot". To win the jackpot, all three dials must be in the "Jackpot" position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot? 1/30 = 0.03 or 3% 3/(30+30+30) = 3/90 = 0.33 or 33% 3/(30×30×30) = 3/27000 = 0.0001 or 0.01% 1/(30×30×30) = 1/27000 = 0.00003 or 0.003%
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.
A slot machine has 3 dials. Each dial has 30 positions, one of which is "Jackpot". To win the jackpot, all three dials must be in the "Jackpot" position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot?
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1/30 = 0.03 or 3%
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3/(30+30+30) = 3/90 = 0.33 or 33%
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3/(30×30×30) = 3/27000 = 0.0001 or 0.01%
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1/(30×30×30) = 1/27000 = 0.00003 or 0.003%
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