Choose the correct statement with respect to ‘confidence’ metric in association rules

it is the conditional probability that a randomly selected transaction will include all the items in the consequent given that the transaction includes all the items in the antecedent.
a high value of confidence suggests a weak association rule
it is the probability that a randomly selected transaction will include all the items in the consequent as well as all the items in the antecedent.
confidence is not measured in terms of (estimated) conditional probability.

The correct answer is A.

Confidence is a measure of the strength of an association rule. It is defined as the probability that a randomly selected transaction that includes all the items in the antecedent also includes all the items in the consequent.

A high value of confidence suggests a strong association rule. This means that if a transaction includes all the items in the antecedent, it is very likely that it will also include all the items in the consequent.

A low value of confidence suggests a weak association rule. This means that if a transaction includes all the items in the antecedent, it is not very likely that it will also include all the items in the consequent.

Option B is incorrect because a high value of confidence suggests a strong association rule, not a weak association rule.

Option C is incorrect because confidence is not the probability that a randomly selected transaction will include all the items in the consequent as well as all the items in the antecedent. Instead, it is the probability that a randomly selected transaction that includes all the items in the antecedent also includes all the items in the consequent.

Option D is incorrect because confidence is measured in terms of (estimated) conditional probability.