If A And B Are Two Events Then The Probability Of The Event That At Most One Of A B Occurs Is 1) P(A’∩B) +P(A∩B’) + P(A’∩B’) 2) 1-P(A∩B) 3) P(A’)+P(B’)+P(AUB)-1 4) All of the above Solution: Option (4) All of the above. The... View Article
The Probability Of Happening And Event A Is 05 And That Of B Is 03 If A And B Are Mutually Exclusive Events Probability Of Neither A Nor B Is 1) 0.6 2) 0.2 3) 0.21 4) None of these Solution: Option (2)0.2 Give that P(A) = 0.5, P(B) = 0.3 To find P(A’∩B’). P(A’∩B’) = 1-P(AUB)... View Article
If A And B Are Two Events Such That Paub Pa Intersection B Then The True Relation Is 1) P(A)+P(B)=0 2) P(A) + P(B) = P(A)P(B/A) 3) P(A)+P(B) = 2P(A)P(B/A) 4) None of the above Solution: Option (3) P(A)+P(B) =... View Article
Seven White Balls And Three Black Balls Are Randomly Placed In A Row The Probability That No Two Black Balls Are Placed Adjacently Equals 1) 1/2 2) 7/15 3) 2/15 4) 1/3 Solution: Option (2) 7/15 Total number of ways to arrange seven white balls and three black balls in a... View Article
If Three Dice Are Thrown Simultaneously Then The Probability Of Getting A Score Of 7 Is 1) 5/216 2) 1/6 3) 5/72 4) None of these Solution: Option (3) 5/72 If three dice are thrown, the sample space = 216. Favourable... View Article
Let X Be A Set Containing N Elements If Two Subsets A And B Of X Picked At Random The Probability That A And B Have The Same Number 1) 2nCn / 22n 2) 1 / 2nCn 3) [1.3.5…(2n-1)]/2n 4) 3n/4n Solution: Option (1) 2nCn / 22n The number of subsets in a set contains 2n... View Article
Cards Are Drawn One By One At Random From A Well Shuffled Full Pack Of 52 Cards Until Two Aces Are Obtained For The First Time If N Is The Number 1) [(n-1)(52-n)(51-n)]/[50. 49. 17.13] 2) [2(n-1)(52-n)(51-n)]/[50. 49. 17.13] 3) [3(n-1)(52-n)(51-n)]/[50. 49. 17.13] 4)... View Article
Six Boys And Six Girls Sit In A Row What Is The Probability That The Boys And Girls Sit Alternatively 1) 1/462 2) 1/924 3) 1/2 4) None of these Solution: Option (1) 1/462 Total number of ways = 12! Favourable ways = 2 . 6!. 6! The... View Article
In Four Schools B1 B2 B3 B4 The Percentage Of Girls Students Is 12 20 13 17 Respectively From A School Selected At Random One Student Is 1) 6/31 2) 10/31 3) 13/62 4) 17/62 Solution: Option (2) 10/31 Sample space = 62C1 = 62 Favourable cases = 20C1 = 20 Hence, the... View Article
Two Persons A And B Take Turns Throwing A Pair Of Dice The First Person To Throw 9 From Both Dice Will Be Awarded The Prize If A Throws First Then 1) 9/17 2) 8/17 3) 8/9 4) 1/9 Solution: Option (2) 8/17 The probability of getting 9 in both the dice= 4/36 = 1/9 Hence, the... View Article
There Are Four Machines And It Is Known That Exactly Two Of Them Are Faulty They Are Tested One By One In A Random Order Till Both The Faulty 1) 1/3 2) 1/6 3) 1/2 4) 1/4 Solution: Option (2) 1/6 Total number of machines = 4 The required probability = (2/4) .(⅓) =2/12 = 1/6.... View Article
A Rifleman Is Firing At A Distant Target And Has Only 10 Chance Of Hitting It The Minimum Number Of Round He Must Fire In Order To Have 50 1) 7 2) 8 3) 9 4) 6 Solution: Option (1) 7 Given that the probability of hitting in one shot = 10/100 = 1/10 Therefore, the... View Article
Odds 8 To 5 Against A Person Who Is 40 Years Old Living Till He Is 70 And 4 To 3 Against Another Person Now 50 Till He Will Be Living 80 1) 59/91 2) 44/91 3) 51/91 4) 32/91 Solution: Option (2) 44/91 Let A and B be the two persons. The probability that A will die in... View Article
An Unbiased Coin Is Tossed If The Result Is A Head A Pair Of Unbiased Dice Is Rolled And The Number Obtained By Adding The Numbers On 1) 0.24 2) 0.244 3) 0.024 4) None of these Solution: Option (2) 0.224. The probability that the number is 7 or 8 = P7 + P8 The... View Article
If Pa 03 Pb 04 Pc 08 Pab 008 Pac 028 Pabc 009 Pa B C Gte 075 And Pbc X Then 1) 0.23 ≤ x ≤ 0.48 2) 0.32 ≤ x ≤ 0.84 3) 0.25 ≤ x ≤ 0.73 4) None of these Solution: Option (4) None of these It is noted that P(AB)... View Article
If 13p3 1p4 And 12p2 Are The Probabilities Of Three Mutually Exclusive Events Then The Set Of Values Of P Is 1) ⅓ ≤p ≤ ½ 2) ½ < p< 1/2 3) ½ ≤p ≤2/3 4) ½ <p< ⅔ Solution: Option (1) ⅓ ≤p ≤ ½ Given that, [(1+3p)/3], [(1-p)/4], and... View Article
A Bag Contains A White And B Black Balls A And B Alternately Draw A Ball Probability Of A Winning The Game Is Three Times That Of B The Ratio Ab 1) 1:1 2) 1:2 3) 2:1 4) None of these Solution: Option (3) 2:1 Let the event of choosing the white ball be “W” and the event of... View Article
If E And F Are Events With Pe Lte Pf And Pe Intersection F Gt 0 Then 1) Occurrence of E ⇒ Occurrence of F 2) Occurrence of F ⇒ Occurrence of E 3) Non-occurrence of E ⇒ Non-occurrence of F 4) None of the... View Article
For The Binomial Distribution P Qn Whose Mean Is 20 And Variance Is 16 Pair N P Is 1) (100, ⅕) 2) (100, ⅖) 3) (50, ⅕) 4) (50, ⅖) Solution: Option (1) (100, ⅕) Given that, Mean = np = 20 Variance = npq= 16 20q =... View Article
A Fair Coin Is Tossed N And A Number Of Times If The Probability Of Having At Least One Head Is More Than 90 Then N Is Greater Than Or Equal To 1) 2 2) 3 3) 4 4) 5 Solution: Option (3) 4 The probability of having at least one head in “n” tosses = 1-(½)n Given that 1-(½)n ≥... View Article