Q1. A Gallup Poll establishes that 4 out of 5 people are in favour of a particular proposal. If three people are randomly selected and asked their opinion, what is the probability that 2 of them will be in favour of the proposal?
a. 48/125
b. 13/125
c. 63/125
d. 79/125
Q2. The probability that the birthdays of 4 different persons will fall in exactly two calendar months is :
a. 77/1728
b. 17/87
c. 11/144
d. None of these
Q3. The letters of the word ‘article’ are arranged at random. Find the probability that the vowels may occupy the even places ?
a. 2/35
b. 1/35
c. 3/36
d. 2/34
Q4. Two balls are drawn from a bag containing 2 white, 3 red and 4 black balls one by one without replacement, what is the probability that at least one ball is red?
a. 7/12
b. 5/12
c. 3/10
d. None of these
Q5. A bag contain 8 white and 4 red balls. 5 balls are drawn at random, what is the probability that two of them are red and three are white?
a. 12/44
b. 14/33
c. 14/34
d. 15/34
Q6. The probability of a student solving correctly the first question in an examination is 3/5. If he does it correctly his probability of solving the second is 4/5, but if he does not his probability of solving the second one is 2/5. What is the probability of the student getting only one of the two questions correct?
a. 1/25
b. 2/5
c. 3/17
d. 2/19
