Question: A bag contains 2 white and 3 red balls, and a bag B contains 4 white and 5 red balls. One ball is drawn at random from one of the bags and it is found to be red.
Find the probability that it was drawn from the bag B
- 5/52
- 15/52
- 25/52
- 35/52
- 45/52
Correct Answer: C
Solution and Explanation
Approach Solution 1:
There is only one way to solve this problem. The approach is to solve it by using the method of probability.
This is a conditional probability problem since it is asking: given that the ball is red, what is the probability it is from bag B?
We can use the following formula:
P(bag B, given it’s a red ball) = P(a red ball from bag B)/P(a red ball)
Let us assume that there is an equal chance of picking either bag, we have:
P(a red ball from bag B)
= 5/9 x 1/2
= 5/18
P(a red ball) = P(a red ball from bag B) + P(a red ball from bag A)
= 5/9 x 1/2 + 3/5 x 1/2
= 5/18 + 3/10
Therefore, as per the equation the probability in question is:
(5/18)/(5/18 + 3/10)
Now, we will Multiply the numerator and the denominator by 90, we have:
25/(25 + 27) = 25/52
“A bag contains 2 white and 3 red balls, and a bag B contains 4 white”- is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.
Suggested GMAT Problem Solving Questions
- In A Sequence 1, 2, 4, 8, 16, 32, ... Each Term After The First Is Twice GMAT Problem Solving
- What Is The Sum Of Odd Integers From 35 To 85, Inclusive? GMAT Problem Solving
- If 2p + 1/p = 4, Then what is the Value of p^3 + 1/8p^3 ? GMAT Problem Solving
- There are 12 Pipes that are Connected to a Tank. Some of them are fill GMAT Problem Solving
- A wire is cut into three equal parts. The resulting segments are then cut GMAT Problem Solving
- If x = -3, What Is The Value Of -3x^2? GMAT Problem Solving
- There Were R Red Balls And Y Yellow Balls In A Bag. Three Red Balls GMAT Problem Solving
- With An Average Speed Of 40 Km/H, A Train Reaches Its Destination On GMAT Problem Solving
- A Photographer Will Arrange 6 People Of 6 Different Heights GMAT Problem Solving
- What Is The Radius Of The Incircle Of The Triangle Whose Sides Measure GMAT Problem Solving
- A Certain Purse Contains 30 Coins, Each Coin is either a Nickel or GMAT Problem Solving
- Which of the Following is Equal to the Value of 2^5+2^5+3^5+3^5+3^5 ? GMAT Problem Solving
- The Price of a Certain Painting Increased By 20% During the First Year GMAT Problem Solving
- The Population of the Village is 5500. If the Number of Males Increase GMAT Problem Solving
- Two Vessels A and B Contain Milk and Water Mixed in the Ratio 8:5 GMAT Problem Solving
- A Dealer Offers a Cash Discount of 20%. Further, a Customer Bargains GMAT Problem Solving
- There are Two Vessels A and B. Vessel A is Containing 40 Litres of GMAT Problem Solving
- At A Certain Fruit Stand, The Price Of Each Apple Is 40 Cents GMAT Problem Solving
- The Coordinates Of Vertices P And Q Of An Equilateral Triangle PQR Are GMAT Problem Solving
- In How Many Ways The Letter Of The Word "Family" Can Be When GMAT Problem Solving
- A Fair Coin Is Tossed 4 Times. What Is The Probability Of Getting At GMAT Problem Solving
- The Value Of (2^(-14) + 2^(-15) + 2^(-16) + 2^(-17))/5 Is GMAT Problem Solving
- Points A And B Are 120 Km Apart. A Motorcyclist Starts From GMAT Problem Solving
- A student took five papers in an examination, where the full marks GMAT Problem Solving
- In how many ways can letters the word ATTITUDE be rearranged such that GMAT Problem Solving
- A merchant mixes three varieties of rice costing $20/kg, $24/kg GMAT Problem Solving
- ABC is an equilateral triangle, and point D is the midpoint of side BC GMAT Problem Solving
- A Batsman Makes a Score of 87 Runs in the 17th Match and Thus Increases GMAT Problem Solving
- If M= √4+3√4+4√4, Then the Value of M is GMAT Problem Solving
- In a Company of Only 20 Employees, 10 Employees make $80,000/yr GMAT Problem Solving
- A bag contains blue and red balls only GMAT Problem Solving
- (4.8*10^9)^(1/2) is closest in value to GMAT Problem Solving
- What Is The Units Digit Of 2222^333 ∗ 3333^222? GMAT Problem Solving
- What Is The Tens Digit Of 6^17? GMAT Problem Solving
- If m=−2, What Is −m^(−m)? GMAT Problem Solving
- An Automated Manufacturing Plant Uses Robots To Manufacture Products GMAT Problem Solving
- How many Terminating Zeroes does 200 Have GMAT Problem Solving
- Properties of Circle GMAT Problem Solving
- If 10, 12 and ‘x’ are Sides of an Acute Angled Triangle, How Many Integer Values of ‘x’ are Possible? GMAT Problem Solving
- For How Many Values of k is 12^12 the Least Common Multiple GMAT Problem Solving
- For Any Four Digit Number, abcd, *abcd*= (3^a)(5^b)(7^c)(11^d) GMAT Problem Solving
- How Many Five Digit Numbers Can be Formed Using Digits 0, 1, 2, 3, 4, 5, Which Are Divisible By 3 GMAT Problem Solving
- An “Armstrong Number” is an n-Digit Number That is Equal to the Sum of the nth Powers GMAT Problem Solving
- A train crosses a bridge of length 500 m in 40 seconds and a lamp post on the bridge in 15 seconds
- A Train can Travel 50% Faster than a Car GMAT Problem Solving
- A rectangle is inscribed in a hexagon that has all sides of equal length and all angles of equal measure GMAT Problem Solving
- A Rectangular Box has Dimensions 12*10*8 Inches GMAT Problem Solving
- The sum of three numbers is 98. If the ratio between first and second be 2:3 and between second and third be 5:8 GMAT Problem Solving
- How Many Three-Letter Words Can be Constructed Using All the 26 Letters of the English Alphabet GMAT Problem Solving
- How Many Litres of Pure Alcohol Must be Added to a 100-litre Solution That is 20 Percent Alcohol GMAT Problem Solving
Comments