The detailed answer explains how to calculate the probability of passing a true-false test with at least a 70% score by considering all possible outcomes and favorable combinations.
Probability Calculation:
To calculate the probability of passing with at least 70%, we need to consider the different possibilities. Out of the 10 questions, if the student randomly guesses, there are 2^10 = 1024 possible outcomes. To pass with at least 70%, the student needs to get 7, 8, 9, or 10 questions correct. The combinations for each are:
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