The math test has 10 multiple choice questions, each with 3 answers. If Betty guesses correctly on the first 3 questions, what is the probability that she will guess correctly on the fourth question?

I would say that Betty will have a probability to guess 1/3 on the fourth question due to the test only having 10 multiple choice questions with three answers.

Answer Link

JeanaShupp JeanaShupp · Answer 2 · 2019-06-20T07:33:22+02:00

Answer: [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given: The number of multiple choices to each question = 3

We know that in multiple choice question there is only one answer is correct .

Then the probability that she will guess correctly on any question is given by :-

[tex]=\dfrac{\text{Correct choice}}{\text{Total choices}}\\\\=\dfrac{1}{3}[/tex]

Hence, the the probability that she will guess correctly on the fourth question = [tex]\dfrac{1}{3}[/tex]