If A And B Are Two Independent Events Such That Pa Intersection Bbar 325 And Pabar Intersection B 825 Then Pa 1) 1/5 2) 3/8 3) 2/5 4) 4/5 Solution: Option (1) 1/5 Given that A and B are independent events. P(A∩B’) = P(A).P(B’) = 3/25 P(A)... View Article
In A Certain Population 10 Of The People Are Rich 5 Are Famous And 3 Are Rich And Famous The Probability That A Person Picked At Random 1) 0.07 2) 0.08 3) 0.09 4) 0.12 Solution: Option (3) 0.09 Let R be the event of being rich and F be the event of being famous.... View Article
The Probabilities That A And B Will Die Within A Year Are P And Q Respectively Then The Probability That Only One Of Them Will Be Alive 1) p+q 2) p+q-2pq 3) p+q-pq 4) p+q+pq Solution: Option (2) p+q-2pq Given that, the probability that A will die = p The probability... View Article
If A And B Are Two Events Such That Paub Plus Pa Intersection B 78 And Pa 2pb Then Pa 1) 7/12 2) 7/24 3) 5/12 4) 17/24 Solution: Option (1) 7/12 We know that P(AUB) = P(A) + P(B) - P(A∩B) Rearrange the equation, we... View Article
If A And B Are Two Events Such That Paub 56 Pa Intersection B 13 And Pb Bar 13 Then Pa 1) 1/4 2) 1/3 3) 1/2 4) 2/3 Solution: Option (3) 1/2 We know that P(AUB) = P(A) + P(B) - P(A∩B) P(A) = P(AUB) - P(B) + P(A∩B) P(A)... View Article
If The Probability Of A Horse A Winning A Race Is 14 And The Probability Of A Horse B Winning The Same Race Is 15 Then The Probability That Either 1) 1/20 2) 9/20 3) 11/20 4) 19/20 Solution: Option (2) 9/20 Let A be the event that horse A wins and B be the event that horse B... View Article
If An Integer Is Chosen At Random From First 100 Positive Integers Then The Probability That The Chosen Number Is A Multiple Of 4 Or 6 Is 1) 41/100 2) 33/100 3) 1/10 4) None of these Solution: Option (2) 33/100 Total cases = 100 Let A be the event which is to be a... View Article
A Card Is Drawn From A Pack Of Cards Find The Probability That The Card Will Be Queen Or A Heart 1) 4/3 2) 16/3 3) 4/13 4) 5/3 Solution: Option (3) 4/13 Total cards in a pack = 52 Total number of queens in a pack = 4 Total... View Article
If A And B Are Two Independent Events Such That Pa 040 Pb 050 Find Pneither A Nor B 1) 0.90 2) 0.10 3) 0.2 4) 0.3 Solution: Option (4) 0.3 Given that P(A) = 0.40, P(B) = 0.50 P(Neither A nor B) = P(A’∩B’) P(A’∩B’)... View Article
The Probability Of Happening At Least One Of The Events A And B Is 06 If The Events A And B Happens Simultaneously With The Probability 02 1) 0.4 2) 0.8 3) 1.2 4) 1.4 Solution: Option (3) 1.2 Give that P(AUB) = 0.6, P(A∩B) = 0.2. We know that P(AUB) = P(A) + P(B) -... View Article
If A And B Are Two Mutually Exclusive Events Then Pa Plus B 1) P(A) + P(B) – P(AB) 2) P(A) – P(B) 3) P(A) + P(B) 4) P(A) + P(B) + P(AB) Solution: Option (3) P(A) + P(B) If the events A and B... View Article
A Coin Is Tossed Twice If Events A And B Are Defined As A Head On First Toss B Head On Second Toss Then The Probability Of A U B 1) 1/4 2) 1/2 3) 1/8 4) 3/4 Solution: Option (4) ¾ If a coin is tossed twice, the sample space, S = {HH, HT, TH, TT} n(S) = 4... View Article
If A And B Are Any Two Events Then The Probability That Exactly One Of Them Occur Is 1) P(A)+P(B)- P(A∩B) 2) P(A)+P(B)-2P(A∩B) 3) P(A)+P(B)-P(AUB) 4) P(A)+P(B)-2P(AUB) Solution: Option (2) P(A)+P(B)-2P(A∩B) Given that... View Article
If Pa 04 Pb X Paub 07 And The Events A And B Are Mutually Exclusive Then X 1) 3/10 2) 1/2 3) 2/5 4) 1/5 Solution: Option (1) 3/10 Given: P(A)=0.4, P(B)= x, P(AUB)=0.7 P(AUB) = P(A)+ P(B)- P(A∩B) As A and B... View Article
Probability That A Student Will Succeed In The Iit Entrance Test Is 02 And That He Will Succeed In The Roorkee Entrance Test Is 05 If The Probability 1) 0.4 2) 0.3 3) 0.2 4) 0.6 Solution: Option (4) 0.6 Let A be the event that a student succeeds in the IIT entrance test and B be... View Article
If The Probability Of X To Fail In The Examination Is 03 And That For Y Is 02 Then The Probability That Either X Or Y Fail In The Examination Is 1) 0.5 2) 0.44 3) 0.6 4) None of these Solution: Option (2) 0.44 The probability that X fails in the exam = 0.3 The probability... View Article
Suppose That A B C Are Events Such That Pa Pb Pc 14 Pab 0 Pac 18 Then Pa B 1) 0.125 2) 0.25 3) 0.375 4) 0.5 Solution: Option (4) 0.5 Given that, P(A) = P(B) = P(C) = 1/4, P(AB) = 0 P(A+B) = P(A)+ P(B)-... View Article
If A And B Are Two Events Such That Pa 04 Pa Plus B 07 And Pab 02 Then Pb 1) 0.1 2) 0.3 3) 0.5 4) None of these Solution: Option (3) 0.5 Given that, P(A) = 0.4, P(A + B) = 0.7 and P(AB) = 0.2 We know that,... View Article
The Probabilities Of Three Mutually Exclusive Events Are 23 14 And 16 The Statements Is 1) True 2) Wrong 3) Could be either 4) Do not know Solution: Option (2) wrong Given that the probabilities of 3 mutually exclusive... View Article
A Party Of 23 People Takes Their Seats At A Round Table The Odds Against Two Persons Sitting Together Are 1) 10:1 2) 1:11 3) 9:10 4) None of these Solution: Option (1) 10:1 As 23 people take their seats at a round table, then the total... View Article