Question

a jar contains 54 marbles each of which is blue ,green or whita. the probability of selecting a blue marble at random is 1/3 and the peobability of selecting a green marble is 4/9. how many white marbles are there in the jar ??

Answer 1

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Answer 2

Answer:

Total number of white marbles in jar is 22 marbles.

Step-by-step explanation:

Given that a jar contains 54 marbles each of which is blue, green or white.

The probability of selecting a blue marble at random is 1/3

The probability of selecting a green marble is 4/9.

we have to find the number of  white marbles in the jar.

Let number of blue, green or white marbles are x, y and z respectively.

$P(\text{a blue marble})=\frac{\text{number of blue marbles }}{\text{total number of marbles}}=\frac{x}{54}$

$\frac{1}{3}=\frac{x}{54}$

$x=18$

$P(\text{a green marble})=\frac{\text{number of green marbles }}{\text{total number of marbles}}=\frac{y}{54}$

$\frac{4}{9}=\frac{y}{54}$

$y=24$

As total number of marbles in jar is 54

Green+Blue+white=54

24+8+z=54

z=22

Hence, total number of white marbles in jar is 22 marbles.