Question

The amount of uncertainty reduced by the event is defined as the average minimum number of true false questions that would be asked to reduce the uncertainty. That is the reason logarithm 2 is used. Is this statement.?

1) True
2) False

Answer 1

The statement is true. The average minimum number of true/false questions needed to reduce uncertainty is given by the logarithm base 2 of the number of possible outcomes.

Step-by-step explanation:

The statement is true. The amount of uncertainty reduced by an event can be measured using the concept of information. Information is measured in units called bits, and each true/false question can be considered as a bit of information.

In the context of reducing uncertainty, the average minimum number of true/false questions that would be asked to reduce uncertainty is given by the logarithm base 2 of the number of possible outcomes. This is because the logarithm base 2 gives us the number of bits needed to represent the number of outcomes. Therefore, the statement is true.