Question

The last two questions on a quiz were a

true or false question and a multiple choice
question with 4 answer choices. Each ques-
tion had only one right answer. What is the
probability of guessing ______
(a) both questions correctly

(b) both questions incorrectly

(c) both correctly from the remaining
options, knowing that a and b on the
multiple choice were incorrect


Write the probability as a reduced fraction, decimal rounded to the hundreds place, and a whole percent

Answer 1

(a) The probability of guessing both questions correctly is (1/2) * (1/4) = 1/8, or 0.125, or 12.5%.

(b) The probability of guessing both questions incorrectly is (1/2) * (3/4) = 3/8, or 0.375, or 37.5%.

(c) The probability of guessing both questions correctly from the remaining options is (1/3) * (1/3) = 1/9, or approximately 0.111, or 11.1%.

Hope this helps!