Math / Data & Statistics

Question4. What is the probability of guessing the correct answer to a true-false question?

Studdy Solution

STEP 1

1. A true-false question has two possible answers: "True" or "False".
2. Each answer is equally likely to be correct.

STEP 2

1. Identify the total number of possible outcomes.
2. Identify the number of favorable outcomes.
3. Calculate the probability.

STEP 3

Identify the total number of possible outcomes for a true-false question. Since there are two possible answers, "True" or "False", the total number of outcomes is:
$2$

STEP 4

Identify the number of favorable outcomes. Since only one of the answers is correct, the number of favorable outcomes is:
$1$

STEP 5

Calculate the probability of guessing the correct answer by dividing the number of favorable outcomes by the total number of possible outcomes:
$\text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} = \frac{1}{2}$
The probability of guessing the correct answer to a true-false question is:
$\boxed{\frac{1}{2}}$

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