Question

Akshay wants to pack 50 balls equally in 10 bags without leaving any ball find out without dividing if he can pack them
class - 4 book maths X press

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Answer 1

Answer:

Step-by-step explanation:

In 1st bag---> Put 1 red ball

In 2nd bag---> Put the remaining 50 blue+49 red balls.

In this way

P(Red ball)= 1/2*1 + 1/2*49/99

= 0.5 + 0.24747

= 0.74747 or 0.7475 (Ans)

Answer 2

Answer:

Step-by-step explanation:

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)*(25/50)+(1/2)*(25/50)=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.  

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