3 There are 54 fish in a rank. Some of the fish are white and the rest of the fish are red. Jeevan takes at random a fish from the tank. The probability that he takes a white fish is \( \frac{4}{9} \) (a) Work out the number of white fish originally in the tank.

To determine the number of white fish originally in the tank, let's break down the information given: 1. **Total Fish in the Tank:** 54 2. **Probability of Picking a White Fish:** \( \frac{4}{9} \) Let \( W \) represent the number of white fish in the tank. The probability of picking a white fish is given by the ratio of white fish to the total number of fish: \[ \frac{W}{54} = \frac{4}{9} \] To solve for \( W \), multiply both sides of the equation by 54: \[ W = \frac{4}{9} \times 54 \] Simplify the calculation: \[ W = 4 \times 6 = 24 \] **Therefore, there were 24 white fish originally in the tank.** **Answer:** 24