To calculate the probability $P(E)$, we can use the basic formula for probability when all outcomes are equally likely:

$P(E) = \frac{n(E)}{n(S)}$

Where:

• $n(E)$ is the number of favorable outcomes.
• $n(S)$ is the total number of possible outcomes.

From the problem, we are given:

• $n(E) = 5$
• $n(S) = 30$

Now, calculating $P(E)$:

$P(E) = \frac{5}{30} = \frac{1}{6} \approx 0.1667$

The correct probability is approximately 0.167, not 0.16.

Would you like more details or have any questions?

Here are some related questions:

1. What is the formula for probability when outcomes are equally likely?
2. How can we express a probability as a fraction and a decimal?
3. Why is it important to distinguish between rounding and exact values in probability?
4. What are some real-life examples where probabilities are used in decision-making?
5. How does changing $n(E)$ or $n(S)$ affect the probability?

Tip: Always double-check your rounding rules, especially in probability problems!