Which of the following cannot be the probability of an event :
(i) `(3)/(5)` (ii) `2.7` (iii) `43%` (iv) `-0.6`
(v) `-3.2` (vi) `0.35?`

Answer

To determine which of the given options cannot be the probability of an event, we need to remember the fundamental property of probabilities:

1. The probability of an event must be a number between 0 and 1, inclusive. This means:
- The minimum value of probability is 0.
- The maximum value of probability is 1.
- Any value less than 0 or greater than 1 cannot be a probability.

Now, let's analyze each option step by step:

### Step 1: Analyze each option

**Option (i): \( \frac{3}{5} \)**
- Calculate \( \frac{3}{5} = 0.6 \)
- Since \( 0.6 \) is between 0 and 1, this can be a probability.

**Option (ii): \( 2.7 \)**
- \( 2.7 \) is greater than 1.
- Therefore, this cannot be a probability.

**Option (iii): \( 43\% \)**
- Convert \( 43\% \) to a decimal: \( 43\% = \frac{43}{100} = 0.43 \)
- Since \( 0.43 \) is between 0 and 1, this can be a probability.

**Option (iv): \( -0.6 \)**
- \( -0.6 \) is less than 0.
- Therefore, this cannot be a probability.

**Option (v): \( -3.2 \)**
- \( -3.2 \) is also less than 0.
- Therefore, this cannot be a probability.

**Option (vi): \( 0.35 \)**
- \( 0.35 \) is between 0 and 1.
- Therefore, this can be a probability.

### Step 2: Summarize the results

From the analysis:
- Options that **can be probabilities**: \( \frac{3}{5}, 43\%, 0.35 \)
- Options that **cannot be probabilities**: \( 2.7, -0.6, -3.2 \)

### Final Answer
The options that cannot be the probability of an event are:
- \( 2.7 \)
- \( -0.6 \)
- \( -3.2 \)