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CBSE Class 10 Answered

A jar contains blue, green and white marbles. The probability of selecting a blue marble at random is begin mathsize 12px style 1 third end style, while the probability of selecting a green marble at random is begin mathsize 12px style 4 over 9 end style. If there are 54 marbles in the jar in all, how many white marbles are there in the jar?
Asked by Topperlearning User | 09 Nov, 2017, 01:37: PM
answered-by-expert Expert Answer

begin mathsize 12px style Let space straight x space be space the space number space of space blue space marbles.
Total space number space of space marbles space is space 54.
Probability space of space blue space marbles space equals space 1 third
straight x over 54 equals 1 third
straight x space equals space 54 over 3
straight x space equals space 18
Let space straight y space be space the space number space of space green space marbles.
Probability space of space green space marbles space equals space 4 over 9
straight y over 54 equals 4 over 9
straight y space equals 4 over 9 cross times 54
straight y equals space 24
Number space of space white space marbles space equals space 54 space minus space 18 space minus space 24 space equals space 12
end style

 

 

Answered by | 09 Nov, 2017, 03:37: PM
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