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A bag contains only red, green and white balls. The probability of selecting a red ball from the bag at random is 1/3 and that of selecting a white ball at random is 1/2. If the bag contains 9 green balls, the total number of balls in the bag is:
- a)45
- b)48
- c)42
- d)54
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A bag contains only red, green and white balls. The probability of sel...
Given:
Probability of red ball = 1/3
Probability of white ball = 1/2
Formula Used:
Probability = (Number of successful outcomes/Total number of outcomes)
P(E) = (nE)/(nS), where nE = Number of events and nS = Number of sample space
Calculation:
Probability of getting green ball = 1 - (1/3 + 1/2)
⇒ 1 - 5/6 = 1/6
According to the question:
If one unit corresponds to 9 green balls then,
6 unit = 6 × 9 = 54
Total no. Of balls = 54
∴ The total number of balls in the bag is 54.
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Community Answer
A bag contains only red, green and white balls. The probability of sel...
Given:
- Probability of selecting a red ball at random = 1/3
- Probability of selecting a white ball at random = 1/2
- Number of green balls = 9
To find:
The total number of balls in the bag.
Solution:
Let's assume the total number of balls in the bag is 'x'.
Red Balls:
The probability of selecting a red ball at random is 1/3. This means that the number of red balls in the bag is (1/3)x.
White Balls:
The probability of selecting a white ball at random is 1/2. This means that the number of white balls in the bag is (1/2)x.
Green Balls:
The number of green balls in the bag is given as 9.
Total Balls:
The total number of balls in the bag is the sum of the number of red, white, and green balls.
Total balls = Number of red balls + Number of white balls + Number of green balls
Substituting the values, we have:
x = (1/3)x + (1/2)x + 9
Now, let's solve the equation to find the value of x.
Multiplying the equation by the least common denominator (6), we have:
6x = 2x + 3x + 54
Combining like terms, we get:
6x = 5x + 54
Subtracting 5x from both sides, we have:
x = 54
Therefore, the total number of balls in the bag is 54.
Answer:
The correct option is (D) 54.
- Probability of selecting a red ball at random = 1/3
- Probability of selecting a white ball at random = 1/2
- Number of green balls = 9
To find:
The total number of balls in the bag.
Solution:
Let's assume the total number of balls in the bag is 'x'.
Red Balls:
The probability of selecting a red ball at random is 1/3. This means that the number of red balls in the bag is (1/3)x.
White Balls:
The probability of selecting a white ball at random is 1/2. This means that the number of white balls in the bag is (1/2)x.
Green Balls:
The number of green balls in the bag is given as 9.
Total Balls:
The total number of balls in the bag is the sum of the number of red, white, and green balls.
Total balls = Number of red balls + Number of white balls + Number of green balls
Substituting the values, we have:
x = (1/3)x + (1/2)x + 9
Now, let's solve the equation to find the value of x.
Multiplying the equation by the least common denominator (6), we have:
6x = 2x + 3x + 54
Combining like terms, we get:
6x = 5x + 54
Subtracting 5x from both sides, we have:
x = 54
Therefore, the total number of balls in the bag is 54.
Answer:
The correct option is (D) 54.
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A bag contains only red, green and white balls. The probability of selecting a red ball from the bag at random is1/3and that of selecting a white ball at random is1/2. If the bag contains 9 green balls, the total number of balls in the bag is:a)45b)48c)42d)54Correct answer is option 'D'. Can you explain this answer?
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