last weekend, owen and his friends played the new board game dungeons of earthvale, where players navigate…

last weekend, owen and his friends played the new board game dungeons of earthvale, where players navigate through the towering rooms of an ancient castle. each time they encountered a dragon they had to roll a 6 - sided weighted die and move backward the number of spaces on the die. throughout the game, owen recorded the result each time a player rolled the die. number times rolled 1 1 2 1 3 3 4 2 5 1 6 5 based on the data, what is the probability that the next roll of this die will be a 3? write your answer as a fraction or whole number.

last weekend, owen and his friends played the new board game dungeons of earthvale, where players navigate through the towering rooms of an ancient castle. each time they encountered a dragon they had to roll a 6 - sided weighted die and move backward the number of spaces on the die. throughout the game, owen recorded the result each time a player rolled the die. number times rolled 1 1 2 1 3 3 4 2 5 1 6 5 based on the data, what is the probability that the next roll of this die will be a 3? write your answer as a fraction or whole number.

Answer

Explanation:

Step1: Calculate total rolls

Add up the number of times each number was rolled. $1 + 1+3 + 2+1 + 5=13$.

Step2: Calculate probability of rolling a 3

The number of times 3 was rolled is 3. Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So the probability of rolling a 3 is $\frac{3}{13}$.

Answer:

$\frac{3}{13}$