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Question 41(i)
A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that it is not red?


Solution

Given that, A bag contains total number of balls=24
A bag contains number of red balls=x
A bag contains number of white balls=2x
and a bag contains number of blue balls=3x
By condition,              x+2x+3x=24
6x=24x=4Numer of red balls=x=4Number of white balls=2x=2×4=8and number of blue balls=3x=3×4=12
So, total number of outcomes for a ball is selected at random in a bag contains 24 balls.
n(S)=24
 Let E1= Event of selecting a ball which is not red i.e. can be white or blue.
n(E1)=Number of white balls+Number~ of blue ballsn(E1=8+12=20Required probability=n(E1)n(S)=2024=56
 

Mathematics
NCERT Exemplar
Standard X

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