**Dear Readers,**

**We have started the 56 days Study Plan for IBPS PO Prelims. This study plan is to efficiently utilise time and hard work to channelise it towards smart work. From now quizzes on Bankersadda will be according to the given study plan and this will help you prepare important topics in limited time.**

**Today is DAY 22 of the study plan and in Quantitative Aptitude today’s chapter is Probability**

*Directions (1-5): Study the following information carefully to answer the questions that follow:*

**A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap.**

**Q1. If two caps are picked at random, what is the probability that both are blue?**

(a) 1/6

(b) 1/10

(c) 1/12

(d) 1/45

(e) None of these

**Q2. If four caps are picked at random, what is the probability that none is green?**

(a) 7/99

(b) 5/99

(c) 7/12

(d) 5/12

(e) None of these

**Q3. If three caps are picked at random, what is the probability that two are red and one is green?**

(a) 9/22

(b) 6/19

(c) 1/6

(d) 3/22

(e) None of these

**Q4. If one cap is picked at random, what is the probability that it is either blue or yellow?**

(a) 2/9

(b) ¼

(c) 3/8

(d) 6/11

(e) None of these

**Q5. If two caps are picked at random, what is the probability that at least one is red?**

(a) 1/3

(b) 16/21

(c) 19/33

(d) 7/19

(e) None of these

**Q6. An urn contains 3 red and 4 green marbles. If three marbles are picked at random, what is the probability that two green and one is red?**

(a) 3/7

(b) 18/35

(c) 5/14

(d) 4/21

(e) None of these

**Q7. A student has 60% chance of passing in English and 54% chance of passing in both English and Mathematics. What is the percentage probability that he will fail in Mathematics?**

(a) 12

(b) 36

(c) 4

(d) 10

(e) 14

**Q8. When three coins are tossed together, the probability that all coins have the same face up, is**

(a) 1/3

(b) 1/6

(c) 1/8

(d) 1/12

(e) 1/17

**Q9. Ten identical particles are moving randomly inside a closed box. What is the probability that at any given point of time all the ten particles will be lying in the same half of the box?**

(a) 1/4

(b) 1/512

(c) 2/92

(d) 2/112

(e) 1/232

**Q10. 3 digits are chosen at random from 1,2,3,4,5,6,7,8 and 9 without repeating any digit. What is the probability that their product is odd?**

(a) 2/3

(b) 5/108

(c) 5/42

(d) 8/42

(e) 9/42

**Q11. A committee of 4 is to be formed from among 4 girls and 5 boys. What is the probability that the committee will have number of boys less than number of girls?**

(a) ¼

(b) 1/5

(c) 1/6

(d) 1/7

(e) None of these

**Q12. A box contains 4 black balls, 3 red balls and 5 green balls. 2 balls are drawn from the box at random. What is the probability that both the balls are of the same colour?**

(a) 47/68

(b) 1/6

(c)19/66

(d)2/11

(e) None of these

**Q13. In a box carrying one dozen of oranges, one-third have become bad. If 3 oranges are taken out from the box at random, what is the probability that at least one orange out of the three oranges picked up is good?**

(a) 1/55

(b) 54/55

(c) 45/55

(d) 3/55

(e) None of these

**Q14. A box contains 5 green, 4 yellow and 3 white marbles. 3 marbles are drawn at random. What is the probability that they are not of the same colour?**

(a) 13/44

(b) 41/44

(c) 13/55

(d) 152/55

(e) None of these

**Q15. Out of 15 students studying in a class, 7 are from Maharashtra, 5 from Karnataka and 3 from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?**

(a) 12/13

(b) 11/13

(c) 100/15

(d) 51/15

(e) None of these