In a box there are 6 blue balls, X red balls and 10 green balls. Probability of choosing one red ball from the given box is 1/3. Find the sum of red and blue balls in the box.
1. 20
2. 18
3. 12
4. 14
1. 20
2. 18
3. 12
4. 14
Correct Answer – Option 4 : 14
Given:
6 blue balls, X red balls and 10 green balls are there in box
Probability of choosing one red ball from the given box = 1/3
Calculation:
Probability of getting red ball = Number of red balls/Total number of balls
Calculation:
Total balls in the box= 6 + X + 10 = X + 16.
Probability of getting red ball = X/(X + 16)
According to question:
X/(X + 16) = 1/3
⇒ X = 8
∴ The sum of red and blue balls in the box = 8 + 6 = 14