MATH 1333 Lecture Notes - Lecture 12: Venn Diagram, Disjoint Sets, Chocolate Cake

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Determining probabilities in situations that involve either permutations or combinations is done using the same techniques as you learned in lesson 11. The probability of a particular event occurring is calculated by dividing the number of desired outcomes (also known as successes) by the total number of possible outcomes in the probability experiment. This is represented by the formula (cid:4666)(cid:1827)(cid:4667)=(cid:4666)(cid:4667)(cid:4666)(cid:4667), where a represents the event of a particular outcome occurring and s represents all the elements in the sample space. The only difference with permutations and combinations is that finding the values of n(a) and n(s) involves the counting theory strategies you learned in lessons 6 through 10. In ontario, most licence plates start with 4 letters and end with 3 numbers. Although some people pay to get (cid:862)(cid:448)a(cid:374)ity plates(cid:863) (cid:449)ith lette(cid:396)s of thei(cid:396) o(cid:449)(cid:374) (cid:272)hoosi(cid:374)g, ge(cid:374)e(cid:396)ally speaki(cid:374)g the (cid:1008) lette(cid:396)s a(cid:374)d (cid:1007) (cid:374)u(cid:373)(cid:271)e(cid:396)s are randomly selected.

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