A) 12
B) 6
C) 9
D) 11
Correct Answer: A
Solution :
Let there be b blue, g green and w white marbles in the jar. Then,\[b+g+w=54\] ?.(i) \[\therefore \] P (Selecting a blue marble) \[=\frac{b}{54}\] It is given that the probability of selecting a blue marble is \[\frac{1}{3}\]. \[\therefore \] \[\frac{1}{3}=\frac{b}{54}\Rightarrow b=18\] We have, P (Selecting a green marble) \[=\frac{4}{9}\] (given) \[\Rightarrow \] \[\frac{9}{54}=\frac{4}{9}\Rightarrow g=24\] Substituting the values of b and g in (i), we get: \[18+24+w=54\Rightarrow w=12\] Hence, the jar contains 12 white marbles.You need to login to perform this action.
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