Question

A bag contains a red ball a blue ball and 2 white ball. If one ball is drawn at random then what is the probability that the ball is I) Red II) Blue III) White​

Answer 1

Step-by-step explanation:

Probability of selecting a bag out of three =  

3

1

​Probability of getting a red and white ball from bag A =  

6

C  

2

​  

 

1

C  

1

​  

×  

3

C  

1

​  

 

​  

=  

15

3

​  

=  

5

1

​  

 

Probability of selecting a red and a white ball from bag B =  

8

C  

2

​  

 

2

C  

1

​  

×  

3

C  

1

​  

 

​  

=  

28

6

​  

=  

14

3

​  

 

Probability of selecting a red and a white ball from bag C =  

9

C  

2

​  

 

4

C  

1

​  

×  

2

C  

1

​  

 

​  

=  

36

8

​  

=  

9

2

​  

 

So the probability that balls are white and red =  

3

1

​  

(  

5

1

​  

+  

14

3

​  

+  

9

2

​  

)=  

3

1

​  

(  

630

126+135+140

​  

)=  

1890

401

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