Correct Answer - Option 3 : 18/35
Given:
A bag contains x red and (x + 3)green balls.
The probability of getting a red balls is 2/5.
Formula Used:
Probability = Number of observation/Total number of observation
Calculation:
The number of green balls is (x + 3).
The number of red balls is x.
The total number of question = x + x + 3 = 2x + 3
According to the question:
The probability of getting a red balls is 2/5.
⇒ x/(2x + 3) = 2/5
⇒ 5x = 4x + 6
⇒ x = 6
The number of green balls = 6 + 3 = 9
The total ball = 6 + 9 = 15
The number of ways selecting a red ball and green ball together = 6C1 × 9C1 = 6 × 9 = 54
The total number of ways of selecting balls = 15C2 = 15/2× 14/1 = 105
The probability = 54/105 = 18/35
∴ The probability of getting a red ball and green balls is 18/35.
