A true/false test has 40 questions. Assume that a student guesses at the answers.
What is the probability of guessing correctly for any one question?
for anyone one question is .50
To calculate the probability of guessing correctly for any one question on a true/false test, we need to know the number of possible outcomes (choices) and the number of favorable outcomes (correct answers).
In this case, for each question, there are two possible outcomes: either the student guesses correctly or incorrectly. Since the student is just guessing at the answers, both outcomes are equally likely.
So, the number of possible outcomes is 2, and the number of favorable outcomes (correct answers) is also 2, as the student has a 50% chance of guessing correctly.
Therefore, the probability of guessing correctly for any one question is:
Probability = Number of favorable outcomes / Number of possible outcomes
= 2 / 2
= 1 / 2
= 0.5
So, the probability of guessing correctly for any one question is 0.5, or 50%.