When resistors are connected in parallel, the total resistance in the circuit decreases. In this case, since the three resistors are equal, the total resistance will be one-third of the individual resistance.

To understand this, let`s consider each option:

Option 1: One-third of the individual resistance. This option is correct because when resistors are connected in parallel, the reciprocal of the total resistance is equal to the sum of the reciprocals of the individual resistances. Since the three resistors are equal, each contributes one-third to the sum, resulting in a total resistance of one-third.

Option 2: Two-thirds of the individual resistance. This option is incorrect because connecting resistors in parallel results in a decrease in resistance, not an increase.

Option 3: Equal to the individual resistance. This option is incorrect because when resistors are connected in parallel, the total resistance is always less than the individual resistance.

Option 4: Three times the individual resistance. This option is incorrect because connecting resistors in parallel always decreases the total resistance, not increases it.

In conclusion, option 1 is the correct answer because when three equal resistors are connected in parallel, the total resistance in the circuit becomes one-third of the individual resistance.