Question

suppose you roll a regular 6-faced die. what is the probability of rolling:
④ a 6?
⑤ a 2?
⑥ a 4?

Explanation:

Step1: Define total possible outcomes

A 6-faced die has 6 total outcomes: $\{1,2,3,4,5,6\}$, so total outcomes $=6$.

Step2: Calculate probability for rolling a 6

Favorable outcomes for rolling a 6: 1. Probability = $\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}$
$\text{Probability (rolling a 6)} = \frac{1}{6}$

Step3: Calculate probability for rolling a 2

Favorable outcomes for rolling a 2: 1.
$\text{Probability (rolling a 2)} = \frac{1}{6}$

Step4: Calculate probability for rolling a 4

Favorable outcomes for rolling a 4: 1.
$\text{Probability (rolling a 4)} = \frac{1}{6}$

Answer:

• Probability of rolling a 6: $\frac{1}{6}$
• Probability of rolling a 2: $\frac{1}{6}$
• Probability of rolling a 4: $\frac{1}{6}$