in a kitchen, there are 54 utensils consisting of bowl, plates and glasses. the ratio of bowl , plate glasses is 3:2:1. a utensil is picked at random.find the probability that:-

1. it is a plate.

2. it is not a bowl.

;

the ratio of bowl , plate glasses is 3:2:1
3+2+1=6

Number of bowls = 3/6 * 54=27
Number of plates = 2/6 * 54 = 18
Number of glasses = 1/6 * 54= 9

(1) Probability of getting a plate = 18/54 = 1/3
(2) Probability that it is not a bowl
= probability of getting a plate +probability of getting a glass
$$\begin{gathered} =\frac{18}{54}+\frac{9}{54} \\ =\frac{27}{54} \\ =\frac{1}{2} \end{gathered}$$