Question

A jar contains 54 marbles each of which is blue, green or white. The probability of selecting a blue marble at random from the jar is `1/3,` and the probability of selecting a green marble at random is `4/9dot` How many white marbles does the jar contain? Select the correct answer from above options

Answer 1

Correct Answer - 12 Total number of marbles in the jar= 54. P(getting a blue marble) = ` 1/3` and P(getting a green marble) =` 4/9`. Let P(getting a white marble) be x. Since there are only three given types of marbles in the jar, we have ` 1/3+4/9 + x = 1 rArr 7/9 + x = 1 -7/9 = 2/9`. ` :. ` P(getting a white marble) = `2/9`. Let the number of white marbles be n. Then, P(getting a white marble) = ` n/54`. ` :. n/54 = 2/9 rArr 9n = 108 rArr n = 12`. Hecne, there are 12 white marbles in the jar.