Genius Jnr - Bag A contains 3 red and 5 black balls, while bag B contains 4 red and 4 black balls. Two balls are transferred at random from bag A to bag B and then a ball is drawn from bag B at random. If the ball drawn from bag B is found to be red find the probability that two red balls were transferred from A to B.

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Bag A contains 3 red and 5 black balls, while bag B contains 4 red and 4 black balls. Two balls are transferred at random from bag A to bag B and then a ball is drawn from bag B at random. If the ball drawn from bag B is found to be red find the probability that two red balls were transferred from A to B.

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55 C 45 57 Mark Correct Answer Abc B 33 B C 18 B 35 B 55 C 45 57 Mark Correct Answer Given Figure Two Straight Lines Ab Cd Intersect Point Aoc 50 Bod 40 B 50 C 130 6 Horse Tethered One Corner Rectangular Field 60 40 Rope 14 Long Much Area Horse Graze Hour Minute Hands Clock 4 2 Cm 7 Cm Long Respectively Find Sum Distances Covered Tips 1 Day Quadrilateral Abcd Ab 28 Cm Bc 26 Cm Cd 50 Cm Da 40 Cm Diagonal Ac 30 Cm Find Area Quadrilateral Area Rhombus Equal Area Triangle Whose Base Corresponding Height 24 8 Cm 16 5 Cm Respectively One Di 115 Long 64 Broad Lawn Two Roads Right Angles One 2 Wide Running Parallel Length 2 5 Wide Running Pa Survey 85 Families Colony Number Members Family Recorded Data Represented Following Bar Graph Read B Find Mode Data 10 8 4 7 8 11 15 8 6 8 Ii 27 23 39 18 27 21 27 27 40 36 27 Find Mean First Five Natural Numbers Bottle Manufacturing Company Produces Bottles Three Plants B C Daily Production 1500 2000 2500 Bott States Union Territories Divided Smaller Units Units Called Bag Containing 20 Tickets Numbered 1 20 Two Tickets Drawn Random Find Probability Tickets Prime Numb Company Two Plants Manufacture V First Plant Manufactures 70 V Rest Manufactured Plant 80 V Manufact Integer Chosen Random First 200 Positive Integers Find Probability Divisible 6 8 X Taking Subjects Mathematics Physics Chemistry Examination Probability Getting Grade Subjects 0 2 0 Speaks Truth 8 Times 10 Times Die Tossed Reports 5 Probability Actually 5 Urn Contains 7 White 5 Black 3 Red Balls Two Balls Drawn Random Find Probability Balls Red Ii One Ba Three Urns B C Contain 6 Red 4 White 2 Red 6 White 1 Red 5 White Balls Respectively Urn Chosen Rando Urn Contains 7 Red 4 Blue Balls Two Balls Drawn Random Replacement Find Probability Getting 2 Red Ba Card Drawn Random Well Shuffled Pack 52 Cards Find Probability Neither Ace King Two Bags Ii Bag Contains 2 White 3 Red Balls Bag Ii Contains 4 White 5 Red Balls One Ball Drawn Rand Single Throw Three Dice Determine Probability Getting Total 5 Total 5 Company Two Plants Manufacture Motor Cycles 70 Motor Cycles Manufactured First Plant 30 Manufactured Factory Manufactures Nuts Machines B C Manufacture Respectively 25 35 40 Nuts Output 5 4 2 Per Cent Family 2 Children Find Probability Boys Known Least One Children Boy Ii Elder Child Boy Bag Contains 4 Balls Two Balls Drawn Random Found White Probability Balls White Aand Bare Independent Events P 0 5 P B 0 4 Find Value P B P B Events B Find Value P B Bag Contains 3 Red Balls 4 Blue Balls 5 White Balls Three Balls Successively Drawn Bag Without Repla Three Events E F G Find Value Ifa B Two Events Satisfying Conditions P 0 3 P B 0 4 P 0 5 Find Value Box Contains 15 Items Among 4 Defective Items Selected Random One One Without Replacement Probabilit Urn Contains Six Tickets Numbered 1 2 3 4 5 6 Another Urn Contains Five Tickets Numbered 2 4 6 8 10 Shop 12 Boxes Brand P 6 Boxes Brand Qand 4 Blue Boxes Brand R Eachcontaining Screws Fractions Number Aand Bare Two 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2 Three Balls Drawn Urn One Another Without Replacement P B Two Independent Events P B P B 0 1 P B 0 06 Find Value P B P B Bag X Contains 5 Red Balls 3 White Balls Whereas Bag Contains 3 Red Balls 5 White Balls Equal Sizes Box X 7 Red 3 Black Balls Whereas Box 2 Red 3 Black Balls Equal Sizes One Ball Randomly Drawn Found Urn Contains 6 Red 5 Black 2 Blue Balls One One Three Balls Drawn Without Replacement Find Probabili B Two Events Satisfying Conditions P 0 3 P B 0 4 P 0 5 Find Value Box Contains 15 Items Among 4 Defective Items Selected Random One One Without Replacement Probabilit P 0 6 P B 0 25 P B Find Value P B X Two Independent Events Show X Independent Events P 0 9 P B 0 7 P C B 0 4 P B C 0 25 Find Value P B C Survey Conducted Among Group 200 Persons Particular Locality Find Probability Persons Vegetarians Am Urn Contains Black White Balls Sizes Ratio 2 3 Two Balls Successively Drawn Urn Without Replacement Company Three Factories P Q R Produce Bulbs Numbers Bulbs Manufactured Three Factories P Q R Ratio 3 P B Events B Find Value P B Bag Contains 3 Red Balls 4 Blue Balls 5 White Balls Three Balls Successively Drawn Bag Without Repla Three Events E F G Find Value Bag Contains 4 Green Balls Blue Balls Two Balls Drawn One One Without Replacement Probability Balls Following Table Shows Heights Students Different Classes Particular School Class Height Cm 140 150 1 Use Following Information Answer Next Question Card Drawn Standard Deck 52 Cards Without Replacement Use Following Information Answer Next Question Archery Competition Bulls Eye Struck Man Hits Centre Use Following Information Answer Question Packet Contains 2 Blue Pens 3 Black Pens Another Packet C Ian Ritchie Mischievous Also Known Lied Great Aplomb Ian Lied 40 Time Ritchie 70 Time Versions Event B B P Probability Man Aged X Die Within Year Probability Five Persons B C E Aged X B Die Year First One Game Treasure Hunt Children Searching Chocolates Candies 3 Boxes 2 Drawers First Box Contains Chocol Use Following Information Answer Next Question Piece Equipment Function Three Components B C Functio John Shawn Mike Shoot Hit Target John Hits Target 4 Times 5 Trials Shawn Hits 3 Times 4 Trials Mike Use Following Information Answer Next Question Company Manufactures Three Different Types Mobile Pho Use Following Information Answer Next Question Marsha Chester Playing Game Scrabble Marsha Needs Pic Use Following Information Answer Next Question Computer Monitors Available Various Forms Like Lcd Li Two Dice Rolled Simultaneously Known Five Appears One Dice Probability Sum Numbers Appearing Faces T Use Following Information Answer Next Question Person Goes Shopping Amount Money Needs Buy Shirt Tro Two Events B Values P B P B P B Value P B Use Information Given Answer Next Question Probability Mosquito Hosting Malarial Parasite 0 3 Probab Use Following Information Answer Next Question Team H Wins Basketball Match Probability Team K Wins Use Following Information Answer Question Jamie Peter Play Game Die Coin Prime Number Appears Face D Box Contains 3 Red 7 White Balls One Ball Drawn Random Replaced Ball Colour One Ball Drawn Random Bo B 2 Events Sample Space Following Equal Probability Certain Person Buy Laptop 0 6 Probability Person Buy Mobile Phone Given Bought Laptop 0 Factory Manufactures Bulbs Two Bulb Manufacturing Machines Found Every Seventh Bulb Produced First M Use Information Given Answer Next Question Gathering 100 Persons Person Issued Lottery Ticket Two Lu Event Independent Probability Occurrence Event Use Following Information Answer Next Question Probability Tom Go Brand L Showroom Probability Go Br Use Following Information Answer Next Question Three Persons B C Fire Respective Guns Target Probabi Let B C Three Independent Events Probability Three Events Occurs Together Probability None Three Eve Define Set Point Chosen Randomly Sample Space Let Equation Chord Ellipse P Denotes Probability Event Bag Contains 3n 1 Dice Three Types Dice B C Respective Numbers N N N 1 Known Type Dice 6 Three Faces Speaks Truth 60 Cases B 90 Cases Percent Cases Likely Contradict Stating Fact Cases Contradiction Th Assume Chances Patient Heart Attack 40 Assuming Meditation Yoga Course Reduces Risk Heart Attack 30 P Speaks Truth 70 Cases Q 80 Cases Percent Cases Likely Agree Stating Fact Think Agree Means Speakin Assume Chances Patient Heart Attack 40 Assuming Meditation Yoga Course Reduces Risk Heart Attack 30 Speaks Truth 75 Cases B 90 Cases Percent Cases Likely Contradict Stating Fact Think Statement B True Assume Chances Patient Heart Attack 40 Assuming Meditation Yoga Course Reduces Risk Heart Attack 30 Probabilities Two Students B Coming School Time Respectively Assuming Events Coming Time B Coming Ti Hockey Match Teams B Scored Number Goals End Game Decide Winner Referee Asked Captains Throw Die Alt Probabilities Two Students B Coming School Time Respectively Assuming Events Coming Time B Coming Ti Hockey Match Teams B Scored Number Goals End Game Decide Winner Referee Asked Captains Throw Die Alt Manufacturer Considers Men Women Workers Equally Efficient Pays Rate 30 17 Units Workers Male Female Suppose Girl Throws Die Gets 5 6 Tosses Coin Times Notes Number Heads Gets 1 2 3 4 Tosses Coin Notes Girl Throws Die Gets 5 6 Tosses Coin Three Times Notes Number Heads Gets 1 2 3 4 Tosses Coin Two Tim Bag Contains 3 Red 4 Black Balls Bag Ii Contains 4 Red 5 Black Balls Two Balls Transferred Random Ba Assume Born Child Equally Likely Boy Girl Family Two Children Conditional Probability Girls Give You Card Pack 52 Playing Cards Lost Remaining Cards Pack Three Cards Drawn Random Without Replacement Fo Assume Born Child Equally Likely Boy Girl Family Two Children Conditional Probability Girls Give You Card Pack 52 Playing Cards Lost Remaining Cards Pack Three Cards Drawn Random Without Replacement Fo Assume Born Child Equally Likely Boy Girl Family Two Children Conditional Probability Girls Give You Card Pack 52 Playing Cards Lost Remaining Cards Pack Three Cards Drawn Random Without Replacement Fo Three Coins One Two Headed Coin Head Faces Another Biased Coin Comes Heads 75 Times Third Also Biase Bag Contains 3 Red 4 Black Balls Bag Ii Contains 4 Red 5 Black Balls One Ball Transferred Bag Bag Ii Insurance Company Insured 2000 Scooter Drivers 4000 Car Drivers 6000 Truck Drivers Probabilities Acc B Two Independent Events Pa B 215 Pa B 16 Find P P B B Throw Die Alternatively Till One Gets Number Greater Four Wins Game Starts Game Probability B Winn 40 Students College Reside Hostel Remaining Reside Outside End Year 50 Hostellers Got Grade Outside B Two Independent Events Pa B 215 Pa B 16 Find P P B B Two Independent Events Pa B 215 Pa B 16 Find P P B Three Persons B C Apply Job Manager Private Company Chances Selection B C Ratio 1 2 4 Probabilities Game Man Wins Rs 5 Getting Number Greater 4 Loses Rs 1 Otherwise Fair Die Thrown Man Decided Thrown Bag Contains 3 Red 5 Black Balls Bag B Contains 4 Red 4 Black Balls Two Balls Transferred Random Bag Prove E F Independent Events Events E F Also Independent Often Taken Truthful Person Commands Respect Society Man Known Speak Truth 4 5 Times Throws Die Repo Shop X 30 Tins Pure Ghee 40 Tins Adulterated Ghee Look Alike Kept Sale Shop Similar 50 Tins Pure Ghe Two Tailors B Earn Rs 300 Rs 400 Per Day Respectively Stitch 6 Shirts 4 Pairs Trousers B Stitch 10 S Die Whose Faces Marked 1 2 3 Red 4 5 6 Green Tossed Let Event Number Obtained Even B Event Number Ob Students School Known 30 100 Attendance 70 Students Irregular Previous Year Results Report 70 Studen Black Red Die Rolled Together Find Conditional Probability Obtaining Sum 8 Given Red Die Resulted Nu Suppose Girl Throws Die Gets 1 2 Tosses Coin Three Times Notes Number Tails Gets 3 4 5 6 Tosses Coin Die Marked 1 2 3 Red 4 5 6 Green Tossed Let Event Number Even B Event Number Marked Red Find Whether Manufacture Three Machine Operators B C First Operator Produces 1 Defective Items Whereas Two Operat Probabilities Solving Specific Problem Independently B 13 15 Respectively Try Solve Problem Independ Insurance Company Insured 3000 Cyclists 6000 Scooter Drivers 9000 Car Drivers Probability Accident I Mother Father Son Line Random Family Photo B Two Events Given Son One End B Father Middle Find P B Two Boxes Ii Box Contains 3 Red 6 Black Balls Box Ii Contains 5 Red N Black Balls One Two Boxes Box Let B Two Events Experiment Sample Space Pab Pba Following Relation Possible Experiment Drawing Cards Deck 52 Cards One Card Drawn Randomly Placed Back Deck Another Card Drawn F Two Distinct Numbers Selected First 14 Natural Numbers Probability One Number Multiple 3 Number Mult Bag Contains 4 Black 6 Red Balls Bag B Contains 7 Black 3 Red Balls Die Thrown 1 2 Appears Bag Chose Card Picked Random Pack 52 Playing Cards Given Picked Card Queen Probability Card Card Spade 13 B 41 Die Thrown Let Event Number Obtained Greater 3 Let B Event Number Obtained Less 5 P B 25 B 35 C 0 1 Given Two Independent Events B P 0 3 P B 0 6 Find P B Shop X 30 Tins Ghee Type 40 Tins Ghee Type B Look Alike Kept Sale Shop Similar 50 Tins Ghee Type 60 Number Chosen Randomly Numbers 1 60 Probability Chosen Number Multiple 2 5 25 B 35 C 710 910 Three Categories Trains Category Three Number Stoppages Namely P Q R Category B Four Number Stoppage Toolbox Contains 4 Wrenches 6 Screwdrivers Three Random Tools Selected Random Replacements Second Se Attempt 4 Sub Parts Following Case Based Question Sub Part Carries 1 Mark Rahul Studies Grade Xii Fa Attempt 4 Sub Parts Following Case Based Question Sub Part Carries 1 Mark Objective Test Paper Quest