There are two empty bowls in a room. You have 50 white balls and 50 black balls. After you place the balls in the bowls, a random ball will be picked from a random bowl. Distribute the balls (all of them) into the bowls to maximize the chance of picking a white ball.

**Explanation:**

First, let us assume that we divided the balls into jars equally so each jar will contain 50 balls.

So the probability of selecting a white ball will be=probability of selecting the first jar*probability of white ball in the first jar + probability of selecting the second jar*probability of white ball in the second jar

=(1/2)*(0/50)+(1/2)*(50/50)=0.5

Since we have to maximize the probability so we will increase the probability of white ball in the first jar and keep the second probability same mean equal to 1

so we add 49 white balls with 50 black balls in the first jar and only one white ball in the second jar

so the probability will be now=

(1/2)*(49/99)+(1/2)*(1/1)=0.747

Therefore, probability of getting white ball becomes 1/2*1 + 1/2*49/99 which is approximately 3/4.

Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above

## Recommended Posts:

- Puzzle 63 | Paper ball and three friends
- Puzzle | Weight of Heavy Ball
- Puzzle | Find the last ball to remain after the entire process
- Puzzle | Black and White Balls
- Puzzle | Probability of a Truck Passing
- Puzzle | Find The Probability of Distance in a Square
- Puzzle | Probability of finding a job
- Puzzle 15 | (Camel and Banana Puzzle)
- Puzzle 24 | (10 Coins Puzzle)
- Puzzle 27 | (Hourglasses Puzzle)
- Puzzle 28 | (Newspaper Puzzle)
- Puzzle 29 | (Car Wheel Puzzle)
- Puzzle 31 | (Minimum cut Puzzle)
- Puzzle 33 | ( Rs 500 Note Puzzle )
- Puzzle 34 | (Prisoner and Policeman Puzzle)
- Puzzle 36 | (Matchstick Puzzle)
- Puzzle 38 | (Tic Tac Toe Puzzle)
- Puzzle 39 | (100 coins puzzle)
- Puzzle 51| Cheryl’s Birthday Puzzle and Solution
- Puzzle 81 | 100 people in a circle with gun puzzle