Question

wanda and nathan are playing a game with 6 - sided dice. to start, wanda rolled one of the dice. now, nathan is guessing what number she rolled. based on his previous guesses, nathan knows that the number is less than 5, but he doesnt have any other information yet. what is the probability that the number wanda rolled is greater than 2? write your answer as a fraction or decimal. do not round.

Explanation:

Step1: Determine total possible outcomes

Numbers less than 5 are 1, 2, 3, 4. So total = 4.

Step2: Determine favorable outcomes

Numbers greater than 2 among 1 - 4 are 3, 4. So favorable = 2.

Step3: Calculate probability

Probability = $\frac{\text{favorable}}{\text{total}}=\frac{2}{4}=\frac{1}{2}$

Answer:

$\frac{1}{2}$