Question

you roll a six - sided die. find the probability of rolling a 5.
a (\frac{5}{6})
b (\frac{1}{5})
c (\frac{2}{5})
d (\frac{1}{6})

Explanation:

Step1: Recall Probability Formula

Probability of an event \( P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \).

Step2: Identify Outcomes

For a six - sided die, total possible outcomes when rolling it are \( 6 \) (the numbers \( 1,2,3,4,5,6 \)). The number of favorable outcomes for rolling a \( 5 \) is \( 1 \) (only the number \( 5 \) is favorable).

Step3: Calculate Probability

Using the formula, \( P(\text{rolling a } 5)=\frac{1}{6} \).

Answer:

D. \(\frac{1}{6}\)