STAT 1000 Lecture Notes - Lecture 23: Venn Diagram, Empty Set, Sample Space

• School: University of Manitoba
• Department: Statistics
• Course: STAT 1000
• Professor: Zenaida Mateo

Document Summary

What is the probability of events a and b. We can see that there are only two events that are in both a and b. S = {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45 , So, a (cid:1514) b = {45, 54}. P (a (cid:1514) b) = (cid:1006) (cid:1007)(cid:1010) = 0. 0556. We can see that if we add the events a and b, then we have included the probability of. The probability of the union of two events can be calculated as. P (a (cid:1515) b) = p(a) + p(b) p (a (cid:1514) b) the intersection a (cid:1514) b two times, so we must now subtract it. We could have used this rule to calculate the probability in the previous example: Stat1000 - basic statistical analysis (cid:1007)(cid:1010) (cid:1006) (cid:1007)(cid:1010)+ (cid:1008) (cid:1007)(cid:1010)= (cid:1005)(cid:1007) (cid:1007)(cid:1010) (cid:1005)(cid:1005)