Answer:
37.70% probability that the student will pass the test
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student guesses it correctly, or he does not. The probability of a student guessing a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
10 true/false questions.
10 questions, so
True/false questions, 2 options, one of which is correct. So
If a student guesses on each question, what is the probability that the student will pass the test?
37.70% probability that the student will pass the test