# Probability – Aptitude MCQ Questions – 08

Question 1
A bag contains 7 green and 5 black balls. Three balls are drawn one after the other. The probability of all three balls being green, if the balls drawn are not replaced will be:

 Â Â Â  A. 343/1728 Â Â Â  B. 21/36 Â Â Â  C. 12/35 Â Â Â  D. 7/44

Question 2
A five-digit number is formed by using digits 1, 2, 3, 4 and 5 without repetition. What is the probability that the number is divisible by 4?

 Â Â Â  A. 1/5 Â Â Â  B. 5/6 Â Â Â  C. 4/5 Â Â Â  D. None of these

Question 3
An urn contains 6 red, 5 blue and 2 green marbles. If three marbles are picked at random, what is the probability that at least one is blue?

 Â Â Â  A. 28/143 Â Â Â  B. 11/597 Â Â Â  C. 28/197 Â Â Â  D. 115/143

Question 4

From a pack of 52 cards, 3 cards are drawn. What is the probability that one is ace, one is queen and one is jack?

 Â Â Â A. 19/5525 Â Â Â B. 21/5525 Â Â Â C. 17/5525 Â Â Â D. 16/5525

Question 5
Two teams Arrogant and Overconfident are participating in a cricket tournament. The odds that team Arrogant will be champion is 5 to 3, and the odds that team Overconfident will be the champion is 1 to 4. What are the odds that either Arrogant or team Overconfident will become the champion?

 Â Â Â  A. 3 to 2 Â Â Â  B. 5 to 2 Â Â Â  C. 6 to 1 Â Â Â  D. 33 to 7

Question 6
Find the probability that in a random arrangement of the letters of the word 'UNIVERSITY' the two I's come together.

 Â Â Â A. 1/7 Â Â Â B. 3/5 Â Â Â C. 5/11 Â Â Â D. 1/5

Question 7
In a charity show tickets numbered consecutively from 101 through 350 are placed in a box.What is the probability that a ticket selected at random (blindly) will have a number with a hundredth digit of 2?

 Â Â Â A. 0.285 Â Â Â B. 0.40 Â Â Â C. 100/249 Â Â Â D. 99/250

Question 8
On rolling a dice 2 times, the sum of 2 numbers that appear on the uppermost face is 8. What is the probability that the first throw of dice yields 4?

 Â Â Â A. 2/36 Â Â Â B. 1/36 Â Â Â C. 1/6 Â Â Â D. 1/5

Question 9
A card is drawn from a pack of 52 cards. The card is drawn at random. What is the probability that it is neither a spade nor a Jack?

 Â Â Â A. 4/13 Â Â Â B. 2/13 Â Â Â C. 6/13 Â Â Â D. 9/13

Question 10
What is the probability that a number selected from numbers 1, 2, 3, ......, 30, is prime number, when each of the given numbers is equally likely to be selected?

 Â Â Â A. 9/30 Â Â Â B. 8/30 Â Â Â C. 10/30 Â Â Â D. 11/30