<![CDATA[CAT Question Bank - Probability]]>Number of Questions - 30
Topic - Probability
Answer key available? - No
Source - Curated Content
]]>https://www.mbatious.com/topic/928/cat-question-bank-probabilityRSS for NodeSun, 09 Aug 2020 02:46:52 GMTMon, 23 Oct 2017 06:07:10 GMT60<![CDATA[Reply to CAT Question Bank - Probability on Tue, 24 Oct 2017 10:54:19 GMT]]>Number of Questions - 30
Topic - Probability
Answer key available? - No
Source - Curated Content
]]>https://www.mbatious.com/post/5444https://www.mbatious.com/post/5444Tue, 24 Oct 2017 10:54:19 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:11:04 GMT]]>Q1) Three biased coins A, B and C are such that the probability of getting a head when A is tossed is 1/4, the probability of getting a head when B is tossed is 3/4 and the probability of getting a head when C is tossed is 2/3. The three coins are tossed. If it is found that there are two heads and one tail, what is the probability that coin A shows a head?
]]>https://www.mbatious.com/post/5445https://www.mbatious.com/post/5445Mon, 23 Oct 2017 06:11:04 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:11:11 GMT]]>Q2) In a match India vs SA, the odd against India winning the match is 2:1. What is the probability that India would win a three match series against SA if there is no possibility of draw in a match?
]]>https://www.mbatious.com/post/5446https://www.mbatious.com/post/5446Mon, 23 Oct 2017 06:11:11 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:11:57 GMT]]>Q3) A stick is broken into three pieces. Find the probability a triangle can be formed with the pieces.
]]>https://www.mbatious.com/post/5447https://www.mbatious.com/post/5447Mon, 23 Oct 2017 06:11:57 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:12:15 GMT]]>Q4) Find the probability that a leap year selected at random will contain 53 Sundays ?
]]>https://www.mbatious.com/post/5448https://www.mbatious.com/post/5448Mon, 23 Oct 2017 06:12:15 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:12:41 GMT]]>Q5) 5 persons entered the lift cabin on the ground floor house of an 8 floor house .Suppose that each of them independently and with equal probability can leave the cabin at any floor beginning with the first , then the probability of all 5 persons leaving at different floor is?
]]>https://www.mbatious.com/post/5449https://www.mbatious.com/post/5449Mon, 23 Oct 2017 06:12:41 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:12:58 GMT]]>Q6) Certain numbers of children were playing a game of football. There was a trial taking place on the field. In this trial the probability that a goal is scored is 2/5. The probability that a girl hits a goal is 7/10 whereas the probability that a boy hits a goal is 1/5. What will be the probability that not only a goal is hit girl but it is also hit by a boy?
]]>https://www.mbatious.com/post/5450https://www.mbatious.com/post/5450Mon, 23 Oct 2017 06:12:58 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:13:38 GMT]]>Q7) There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red is maximized. This maximum probability is
a) 37/38
b) 1/2
c) 14/19
d) 3/4
]]>https://www.mbatious.com/post/5451https://www.mbatious.com/post/5451Mon, 23 Oct 2017 06:13:38 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:15:13 GMT]]>Q8) A and B write an exam. The probability that A fails is 0.2. The probability that both A and B fail together is 0.15. The probability that B fails alone is 0.15. The event “A fails alone” implies that A fails when B passes the exam and vice versa. The probability that A fails when B has failed is
]]>https://www.mbatious.com/post/5452https://www.mbatious.com/post/5452Mon, 23 Oct 2017 06:15:13 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:15:44 GMT]]>Q9) You have three bags, each containing two marbles. Bag A contains two white marbles, Bag B contains two black marbles, and Bag C contains one white marble and one black marble. You pick a random bag and take out one marble. It is a white marble. What is the probability that the remaining marble from the same bag is also white?
]]>https://www.mbatious.com/post/5453https://www.mbatious.com/post/5453Mon, 23 Oct 2017 06:15:44 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:16:02 GMT]]>Q10) The Johnson Company receives connector rods from three different producers. We will call them Company A, Company B and Company C. As the quality control inspector you check the rods as they come in. From past experience you know that 12% of the rods from Company A are faulty, 8% of the rods from Company B are faulty and 9% of the rods from Company C are faulty. 40% of the rods come from Company A, 30% come from Company B and 30% come from Company C. You randomly pick a connector rod and find out that it is faulty. What is the probability that it came from Company C?
]]>https://www.mbatious.com/post/5454https://www.mbatious.com/post/5454Mon, 23 Oct 2017 06:16:02 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:16:31 GMT]]>Q11) Three points p, q and r are selected at random from the circumference of a circle. Find the probability that the points lie on a semicircle.
]]>https://www.mbatious.com/post/5455https://www.mbatious.com/post/5455Mon, 23 Oct 2017 06:16:31 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:17:16 GMT]]>Q12) Two aeroplanes bomb the target in succession. The probability of A & B hitting correctly are 0.7 & 0.2 respectively. The second plane shall bomb only if the first misses the target. Find the probability that the target is hit by the second plane.
]]>https://www.mbatious.com/post/5456https://www.mbatious.com/post/5456Mon, 23 Oct 2017 06:17:16 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:17:51 GMT]]>Q13) Aditya has a total of 18 Red and blue balls in 2 bags (each bag having balls of both colors). A ball is drawn at random from 1st bag followed by drawing another ball from 2nd bag, the probability of both being red is 5/16. what is the probability of both being blue
]]>https://www.mbatious.com/post/5457https://www.mbatious.com/post/5457Mon, 23 Oct 2017 06:17:51 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:18:43 GMT]]>Q14) You tossed three unbiased coins then remove all tails in the result, and you tossed the remaining coins. What is the probability that you tossed exactly three tails in the remaining coins?
]]>https://www.mbatious.com/post/5458https://www.mbatious.com/post/5458Mon, 23 Oct 2017 06:18:43 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:19:18 GMT]]>Q15) After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?
]]>https://www.mbatious.com/post/5459https://www.mbatious.com/post/5459Mon, 23 Oct 2017 06:19:18 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:20:07 GMT]]>Q16) Three numbers are to be selected at random without replacement from set of numbers (1,2,3,........n). The conditional probability that the third number lies between the first two, if the first number is known to be smaller than the second?
]]>https://www.mbatious.com/post/5460https://www.mbatious.com/post/5460Mon, 23 Oct 2017 06:20:07 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:20:38 GMT]]>Q17) An urn contains 5 red, 1 black, few white and few blue balls.The probability of picking out 1 white ball is 1/5 and probability of picking out 1 blue ball is 1/2. When three balls are picked at random, what is the probability that none of them is blue?
]]>https://www.mbatious.com/post/5461https://www.mbatious.com/post/5461Mon, 23 Oct 2017 06:20:38 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:23:31 GMT]]>Q18) Given that the product of the digits of a 4 digit number abcd with distinct nonzero digits is a multiple of 3, what is the probability that the product will also be a multiple of 9 ?
]]>https://www.mbatious.com/post/5462https://www.mbatious.com/post/5462Mon, 23 Oct 2017 06:23:31 GMT<![CDATA[Reply to CAT Question Bank - Probability on Tue, 24 Oct 2017 11:48:42 GMT]]>Q19) If 3 consecutive letters are selected at random from the English alphabet, then the probability that all three are consonants is:
a) 1/2
b) 11/24
c) 5/12
d) 7/12
]]>https://www.mbatious.com/post/5463https://www.mbatious.com/post/5463Tue, 24 Oct 2017 11:48:42 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:24:31 GMT]]>Q20) You're about to get on a plane to Seattle. You want to know if you should bring an umbrella. You call 3 random friends of yours who live there and ask each independently if it's raining. Each of your friends has a 2/3 chance of telling you the truth and a 1/3 chance of messing with you by lying. All 3 friends tell you that 'Yes' it is raining. What is the probability that it's actually raining in Seattle?
]]>https://www.mbatious.com/post/5464https://www.mbatious.com/post/5464Mon, 23 Oct 2017 06:24:31 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:26:48 GMT]]>Q21) During a fest, 100 students are arrested on suspect of bad activities. Each is given a test. From past experience it is know that the test is 90% reliable when administered to a guilty person and 98% reliable when given to some one who is innocent. Suppose that of the100 guys taken into custody, only 12 were actually involved in any wrong doing. If the probability that a given suspect in innocent given that the test says he is guilty is x/y where x and y are relatively prime, find the value of x + y
]]>https://www.mbatious.com/post/5465https://www.mbatious.com/post/5465Mon, 23 Oct 2017 06:26:48 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:28:36 GMT]]>Q22) An intelligence agency decide a code of 2 digits selected from 0, 1, 2 ... 9. But the slip on which the code is handwritten, allows confusion between the top and the bottom, because these are indistinguishable. Thus, for example the code 81 should be confused with 18. How many codes are there such that there is no possibility of any confusion?
a) 25
b) 75
c) 80
d) 70
e) None of these
]]>https://www.mbatious.com/post/5466https://www.mbatious.com/post/5466Mon, 23 Oct 2017 06:28:36 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:29:30 GMT]]>Q23) There are 100 passengers boarding a100 passenger air-plane. When passenger 1 gets onto the plane, he is disoriented, so he randomly picks a nearby seat. Each of the remaining passengers (2, 3, 4, etc...) get onto the plane & take their seat if it is available or picks one of the remaining seats at random nearby. What is the chance that the last passenger (passenger 100) will get his seat ?
]]>https://www.mbatious.com/post/5467https://www.mbatious.com/post/5467Mon, 23 Oct 2017 06:29:30 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:33:09 GMT]]>Q24) You are given a box with 20 cards in it. 10 of these cards have the letter ‘I’ printed on them. The other ten have the letter M printed on them. If you pick up 3 cards at random and keep them in the same order, the probability of making the word IIM is:
]]>https://www.mbatious.com/post/5468https://www.mbatious.com/post/5468Mon, 23 Oct 2017 06:33:09 GMT<![CDATA[Reply to CAT Question Bank - Probability on Mon, 23 Oct 2017 06:33:22 GMT]]>Q25) In a tennis match probability that Amit beats Sumit is 3/5 . Probability that Sumit beats Sunil is 3/5 . Probability that Sunil beats Amit is also 3/5 . If Sumit and Sunil play the first match and the winner plays against Amit what is the probability that Amit wins ?
]]>https://www.mbatious.com/post/5469https://www.mbatious.com/post/5469Mon, 23 Oct 2017 06:33:22 GMT