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SCF STA 2023 - Generating Dependent Probabilities

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STA 2023 Chapter 4 Calculator Instructions: Generating Dependent ProbabilitiesFactorialsLets say that you wanted to find the number of ways six people could be arranged in six different chairs. You could solve this by finding six factorial (6!).Type in the number 6.Press the MATH key.Press the ► to highlight PRB.Press the number 4 key.Press the ENTER key to get the value 720.PermutationsAnother common function needed to compute dependent probabilities that uses factorial is the permutation formula. The number of permutations is normally written as nPr; on the calculator with the symbol P written between n and r, where n is the total number of elements, and r is the number being selected. Permutations are used when trying to find all possible arrangements of elements taken from a larger selection.Type in the number 10.Press the MATH key.Press the ► to highlight PRB.Press the number 2 key.Press the number 6 key.Press the ENTER key to get the value 151200.Another similar function needed to compute dependent probabilities that uses factorial is the combination formula. The number of combinations is normally written as nCr; on the calculator with the symbol C written between n and r, where n is the total number of elements, and r is the number being selected. Permutations are use when trying to find all possible groupings of elements taken from a larger selection.An ice cream parlor has six flavors of ice cream. Kristen wants to buy two flavors of ice cream. If she randomly selects two flavors out of six, how many possible combinations are there?Type in the number 6.Press the MATH key.Press the ► to highlight PRB.Press the number 3 key.Press the number 2 key.Press the ENTER key to get the value 15.STA 2023 Chapter 4 Calculator Instructions: Generating DependentProbabilitiesFactorialsA common function needed to compute dependent probabilities is factorial. The factorialof n is usually written as n! and that is how you type it on the calculator. The “!” is foundon the MATH page under the PRB list. Lets say that you wanted to find the number of ways six people could be arranged in sixdifferent chairs. You could solve this by finding six factorial (6!).Type in the number 6.Press the MATH key.Press the ► to highlight PRB.Press the number 4 key.Press the ENTER key to get the value 720.PermutationsAnother common function needed to compute dependent probabilities that uses factorialis the permutation formula. The number of permutations is normally written as nPr; onthe calculator with the symbol P written between n and r, where n is the total number ofelements, and r is the number being selected. Permutations are used when trying to findall possible arrangements of elements taken from a larger selection.Let’s say that you wanted to find the number of ways six people could be arranged in tendifferent chairs. You could solve this by 10 nPr 6 .Type in the number 10. Press the MATH key.Press the ► to highlight PRB.Press the number 2 key.Press the number 6 key.Press the ENTER key to get the value 151200.CombinationsAnother similar function needed to compute dependent probabilities that uses factorial isthe combination formula. The number of combinations is normally written as nCr; on thecalculator with the symbol C written between n and r, where n is the total number ofelements, and r is the number being selected. Permutations are use when trying to findall possible groupings of elements taken from a larger selection.Example: Ice Cream An ice cream parlor has six flavors of ice cream. Kristen wants to buy two flavors of icecream. If she randomly selects two flavors out of six, how many possible combinationsare there?In order to find the number of ways of choosing two flavors out of six, we would need totype6 nCr 2. The symbol nCr is also found under MATH page under PRB.Type in the number 6. Press the MATH key.Press the ► to highlight PRB.Press the number 3 key.Press the number 2 key.Press the ENTER key to get the value


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SCF STA 2023 - Generating Dependent Probabilities

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