1) In a horse race where 18 horses numbered 1-18. The probability that horse 1 would win is 1/6, that 2 would win is 1/10 and that 3 would win is 1/8. Assuming that a tie is impossible, find the change that one of the three will win.

Answer Choices

a) 47/120

b) 119/120

c) 11/129

d) 1/5

e) None of these

2) A and B are two candidates seeking admission to an Ivy League college. The probability that A is selected is 0.5 and the probability that A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.9?

Answer Choices

a) No

b) Yes

c) Either (a) or (b)

d) Can't say

3) The probability that a student will pass in Mathematics s 3/5 and the probability that he will pass in English is 1/3. If the probability that he will pass in both Mathematics and English is 1/8, what is the probability that he will pass in at least one subject?

Answer Choices

a) 97/120

b) 87/120

c) 53/120

d) 120/297

4) The odds in favor of standing first of three students A, B and C appearing at an examination are 1:2, 2:5 and 1:7 respectively. What is the probability that either of them will stand first (assume that a tie for the first place is not possible.)

Answer Choices

a) 168/178

b) 122/168

c) 5/168

d) 125/168

5) A and B are two mutually exclusive and exhaustive events associated with a random experiment. Find P(A) if it is given that P(B) = 3/2 x P(A) and P(C) = 1/2 x P(B).

Answer Choices

a) 0.25

b) 0.3

c) 0.1

d) 0.2

6) If P(A) = 1/3, P(B) = 1/2, P(A intersection B) = 1/4 then find P(A' union B').

Answer Choices

a) 1/3

b) 2/5

c) 2/3

d) 3/4

Any help would be greatly appreciated!