2. The probability that cannot exist among the following:(a) ⅔(b) -1.5(c) 15%(d) 0.7

The probability of an event occurring always lies between 0 and 1, inclusive. This is because probability is a measure of how likely it is that some event will happen. A probability of 0 means the event never happens and a probability of 1 means the event always happens.

Let's evaluate each option:

(a) ⅔: This is a fraction between 0 and 1, so it can be a probability.

(b) -1.5: This is a negative number, which is less than 0. Therefore, it cannot be a probability.

(c) 15%: This is equivalent to 0.15 when expressed as a decimal, which is between 0 and 1. So, it can be a probability.

(d) 0.7: This is a decimal between 0 and 1, so it can be a probability.

Therefore, the probability that cannot exist among the given options is (b) -1.5.