The probability of each event lies between

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$− 1$

and 1

0 and 1

$− 1$

and 0

1 and 2

answer is B.

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Detailed Solution

The probability of an event always lies between 0 and 1. This is because probability is a measure of how likely an event is to happen, and it is expressed as a number.

Probability = 0: This means the event is impossible and will not occur. For example, the probability of rolling a 7 on a standard six-sided die is 0 because it is not possible.

Probability = 1: This means the event is certain to happen. For example, the probability of the sun rising in the morning is 1 because it is guaranteed.

Probability between 0 and 1: Most events fall between these extremes. For instance, the probability of flipping a coin and getting heads is 0.5, meaning it is equally likely to occur or not occur.

Why can't probability go beyond 0 and 1?

Negative probabilities do not exist because they would imply an event is less than impossible, which is not logical.
Probabilities greater than 1 are not valid because they would suggest something is more than certain, which also doesn't make sense.

Correct Answer: d) 0 and 1

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