# Quantitative Aptitude: Probability Questions – Set 20

1. A bag contains 8 green balls and 12 blue balls. If a ball is drawn randomly, then find the probability of getting either green ball or blue ball.
2
3
2/5
2/3
1
Option E
required = (8C1) + (12C1) = 20
total = (20C1) = 20
probability = 20/20 = 1

2. If two cards are drawn randomly from a pack of 52 cards. Then what is the probability of both cards are red cards ?
28/91
23/108
25/102
8
17
Option C
required = (26C2) = 13 * 25
Total = (52C2) = 26 * 51
probability = (13 * 25)/(26 * 51) = 25/102

3. How ,any 4-digit numbers can be formed from the digits 6, 2, 5, 7, 3, which are divisible by 5 and none of the digits is repeated ?
140
220
28
24
96
Option D
A number to be divisible by 5, unit digit must be 0 or 5.
So, in 4-digit numbers unit place is required to be filled by digit 5 and rest three places of required 4-digit numbers will be filled by rest 4 digit.
numbers of ways = 4! = 4 * 3 * 2 * 1 = 24

4. Out of 52 playing cards two cards is picked randomly, then what is the probability of getting that one red king and one black queen ?
2/663
5/13
8/58
5
14
Option A
required = (2C1) * (2C1) = 4
Total = (52C2) = 26 * 51
probability = 4/(26*51) = 2/663

5. A bag contains 2 red pens, 6 blue pens and 4 green pens. Find the probability of getting two same color pens from the bag ?
5/8
2/4
1/3
5/6
4
Option C
required = (2C2) + (6C2) + (4C2)
= 1 + 15 + 6 = 22
total = (12C2) = 66
probability = 22/66 = 1/3

6. A basket contains 3 green, 4 orange and 5 pink balls. If two balls are drawn randomly from the basket, then what the probability of selecting that both balls are of different colors ?
4/65
57/68
8/45
47/66
4/15
Option D
possibility of both balls are different colors = ( 1 green and 1 orange) , (1 orange and 1 pink ), (1 green and 1 pink)
required = (3C1) * (4C1) + (4C1) * (5C1) + (3C1) * (5C1)
= 12 + 20 + 15 = 47
total = (12C2) = 66
probability = 47/66

7. Sunil threw two dices together. What is the probability of getting that the sum of the two outcomes is 4 ?
1/8
1/12
4
5
2
Option B
Possibility to get = (2, 2), (3, 1), (1, 3)
required = 3
total = 36
probability = 3/36 = 1/12

8. When three coins are tossed simultaneously, then find the probability of getting at least one tale.
7/8
5/8
1/4
4/15
2
Option A
possibility = 1 tale or 2 tale or 3 tale
required = (3C1) + (3C2) + (3C3)
= 3 + 3 + 1 = 7
total = 2^3 = 8
probability = 7/8

9. Four boys and 2 girl sit in a row for presenting their project paper, then what is the probability that they will sit in alternate position ?
1/6
2/3
1/8
1/15
2/5
Option D
probability = 4! * 2!/6! = 1/15

10. Probability of a question solved by A and B is 1/5 and 1/4 respectively, then find the probability that at least one of them will solve the questions ?
5/6
1/4
11/25
2/5
5/9
Option D
possibility = 1 – probability of question not solved by anyone
probability = 1 – (1 – 1/5) * (1 – 1/4)
= 1-(4/5) * (3/4)
= 2/5

## 221 Thoughts to “Quantitative Aptitude: Probability Questions – Set 20”

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123. One important issue is that if you find yourself searching for a education loan you may find that you will need a cosigner. There are many conditions where this is correct because you will find that you do not possess a past credit score so the loan provider will require you have someone cosign the financial loan for you. Great post.

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140. Thanks for the a new challenge you have revealed in your text. One thing I’d like to touch upon is that FSBO interactions are built over time. By bringing out yourself to the owners the first saturday their FSBO is announced, before the masses start calling on Wednesday, you produce a good link. By sending them equipment, educational elements, free reports, and forms, you become an ally. Through a personal affinity for them and their circumstance, you develop a solid relationship that, in many cases, pays off when the owners decide to go with an adviser they know as well as trust — preferably you.

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155. One thing I have actually noticed is the fact there are plenty of common myths regarding the banks intentions any time talking about property foreclosures. One misconception in particular is always that the bank desires your house. The lending company wants your hard earned cash, not your house. They want the amount of money they loaned you with interest. Steering clear of the bank will draw a foreclosed summary. Thanks for your posting.

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157. In my opinion that a foreclosures can have a important effect on the borrower’s life. Mortgage foreclosures can have a Several to 10 years negative impact on a client’s credit report. The borrower who may have applied for a mortgage or any kind of loans for example, knows that a worse credit rating can be, the more challenging it is to have a decent mortgage loan. In addition, it may possibly affect a new borrower’s power to find a quality place to let or hire, if that gets the alternative housing solution. Good blog post.

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178. I will also like to mention that most people who find themselves without having health insurance are normally students, self-employed and people who are not working. More than half in the uninsured are really under the age of Thirty five. They do not feel they are needing health insurance since they are young along with healthy. Its income is generally spent on houses, food, as well as entertainment. A lot of people that do go to work either 100 or part-time are not provided insurance via their work so they go without owing to the rising price of health insurance in the us. Thanks for the concepts you write about through your blog.

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180. Hello there! I know this is kinda off topic but I was wondering if you knew where I could locate a captcha plugin for my comment form? I’m using the same blog platform as yours and I’m having problems finding one? Thanks a lot!

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185. Based on my research, after a in foreclosure process home is offered at an auction, it is common for that borrower in order to still have some sort ofthat remaining unpaid debt on the mortgage loan. There are many financial institutions who try to have all costs and liens repaid by the next buyer. On the other hand, depending on certain programs, rules, and state regulations there may be some loans which are not easily solved through the switch of financial products. Therefore, the duty still lies on the debtor that has got his or her property in foreclosure process. Thank you sharing your thinking on this weblog.

186. You’ve made some decent points there. I checked on the web for more info about the issue and found most people will go along with your views on this site.

187. When I originally left a comment I appear to have clicked on the -Notify me when new comments are added- checkbox and now every time a comment is added I receive 4 emails with the same comment. Is there a way you can remove me from that service? Cheers.

188. Interesting blog! Is your theme custom made or did you download it from somewhere? A theme like yours with a few simple tweeks would really make my blog jump out. Please let me know where you got your theme. Thanks a lot

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193. One thing is one of the most common incentives for utilizing your credit card is a cash-back as well as rebate offer. Generally, you’ll have access to 1-5 back upon various purchases. Depending on the credit card, you may get 1 back again on most expenditures, and 5 again on acquisitions made at convenience stores, gas stations, grocery stores in addition to ‘member merchants’.

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197. I do accept as true with all of the ideas you have offered for your post. They’re really convincing and will certainly work. Nonetheless, the posts are too short for newbies. May you please lengthen them a bit from next time? Thanks for the post.

198. Thanks for discussing your ideas. Another thing is that scholars have a solution between federal student loan plus a private education loan where it can be easier to go with student loan online debt consolidation than over the federal education loan.

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202. Thanks a lot for the helpful post. It is also my opinion that mesothelioma cancer has an very long latency period, which means that indication of the disease might not exactly emerge until finally 30 to 50 years after the initial exposure to mesothelioma. Pleural mesothelioma, and that is the most common style and affects the area about the lungs, will cause shortness of breath, torso pains, along with a persistent coughing, which may bring about coughing up blood.

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205. Thanks for the helpful posting. It is also my opinion that mesothelioma cancer has an very long latency interval, which means that indication of the disease may not emerge right up until 30 to 50 years after the initial exposure to asbestos. Pleural mesothelioma, that’s the most common kind and impacts the area round the lungs, might cause shortness of breath, breasts pains, including a persistent coughing, which may bring about coughing up our blood.

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