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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 4/9. How many white marbles does the jar contain?
  • a)
    12
  • b)
    6
  • c)
    9
  • d)
    11
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A jar contains 54 marbles each of which is blue, green or white. The p...
Given:
- The probability of selecting a blue marble at random is 1/3.
- The probability of selecting a green marble at random is 4/9.

Let's assume that the number of white marbles in the jar is x.

The total number of marbles in the jar is given as 54. Therefore, the sum of the number of blue, green, and white marbles is equal to 54.

1. Equating the probability of selecting a blue marble:
The probability of selecting a blue marble is given as 1/3. Therefore, the number of blue marbles is (1/3) * 54 = 18.

2. Equating the probability of selecting a green marble:
The probability of selecting a green marble is given as 4/9. Therefore, the number of green marbles is (4/9) * 54 = 24.

3. Equating the sum of the number of blue, green, and white marbles:
The sum of the number of blue, green, and white marbles is equal to 54. Therefore, we can write the equation as:
18 + 24 + x = 54.

Simplifying the equation:
42 + x = 54
x = 54 - 42
x = 12.

Hence, the jar contains 12 white marbles.

Therefore, the correct answer is option 'A' - 12.
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Community Answer
A jar contains 54 marbles each of which is blue, green or white. The p...
 Let there be b blue, g green and w white marbles in the jar. Then, b + g + w = 54               ...(i)
∴ P (Selecting a blue marble) = b/54
It is given that the probability of selecting a blue marble is 1/3
∴ 1/3 = b/54
⇒ b = 18
We have, P (Selecting a green marble) = 4/9(given) 
⇒ g/54 = 4/9
⇒ g = 24
Substituting the values of b and g in (i), we get 18 + 24 + w = 54 ⇒ w = 1 2 Hence, the jar contains 12 white marbles.
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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 4/9. How many white marbles does the jar contain?a)12b)6c)9d)11Correct answer is option 'A'. Can you explain this answer?
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