Question

According to the Venn diagram below, what is P(A or B or C) ?. . 22/25. . 23/25. . 21/25. . 24/25

Answer 1

Given a Venn diagram containing three circles representing three sets, say A, B and C. The number representing the set A or B or C is given by the addition of all the elements inside the three circles excluding the element outside the three circles. Thus from the given Ven diagram n(P or B or C) = 10 + 2 + 8 + 4 + 6 + 5 + 7 = 42. The total number of elements in the Venn diagram (i.e. the universal set) = 42 + 8 = 50. P(A or B or C) = n(A or B or C) / n(Universal set) = 42 / 50 = 21 / 25