1. (a) P(A) = 10/20 = 1/2, P(B) = 5/20 = 1/4, P(C) = 5/20 = 1/4, P(D) = 8/20 = 2/5
(b) Mutually exclusive pairs: A and B, A and C, B and D, C and D
(c) (i) P(odd or multiple of 4) = P(A or B) = P(A) + P(B) = 1/2 + 1/4 = 3/4
(ii) P(prime or square) = P(C or D) = P(C) + P(D) = 1/4 + 2/5 = 13/20
2. (a) P(5 or 3) = 1/6 + 1/6 = 1/3, P(even number) = 3/6 = 1/2
(b) P(both even) = (1/2) * (1/2) = 1/4
3. (a) P(both show 5) = (1/6) * (1/6) = 1/36
(b) P(first shows 5 and second even) = (1/6) * (1/2) = 1/12
(c) P(both show multiple of 4) = (1/6) * (1/6) = 1/36
(d) P(one prime and one square) = 2 * (1/3) * (1/3) = 2/9
4. P(two odd numbers) = (3/5) * (2/4) = 3/10
Parent Tip: Review the logic above to help your child master the concept of mutually exclusive events worksheet.