MATH 321 Lecture Notes - Lecture 28: Dodecahedron, Sample Space
8 Jul 2019
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5. 5. 5 compute probabilities involving permutations and combinations (1 of 3) In the illinois lottery, an urn contains balls numbered 1 to 52. From this urn, six balls are randomly chosen without replacement. For a bet, a player chooses two sets of six numbers. To win, all six numbers must match those chosen from the urn. The order in which the balls are selected does not matter. 5. 5. 5 compute probabilities involving permutations and combinations (2 of 3) The probability of winning is given by the number of ways a ticket could win divided by the size of the sample space. Each ticket has two sets of six numbers, so there are two chances of winning for each ticket. The sample space s is the number of ways that 6 objects can be selected from 52 objects without replacement and without regard to order, so n(s) = 52c6. 5. 5. 5 compute probabilities involving permutations and combinations (3 of 3)
