A student asks why he can't just make "random guesses" rather than "intelligent guesses" when using the guess-and-check problem-solving strategy. What is the correct response to this question?

At an average or in terms of probable outcome, Intelligent guesses often leads to the right answer while random guesses often lead to the wrong answer

Explanation:

Guess and Check problem-solving strategy is a form of method or approach to solving problems that individuals or specifically researchers and students can employ to solve mathematical situations by guessing the answer after critical evaluation and analysis have been carried out and then checking that the guess conforms with the conditions of the problem under study.

Therefore, in order to get the right answer or solution to a problem, one has to make intelligent guesses which examining and analyzing each problem and determine important clue statements from the problem, then guess the answer from the critical analysis and evaluation. This often helps or leads the individuals to the right solution.

However, using random guesses is to pick or derived answers randomly, without critically analyzing the problem, which most times leads to wrong answers.

Hence, at an average or in terms of probable outcome, Intelligent guesses often leads to the right answer while random guesses often lead to the wrong answer

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