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3. what are the chances of rolling an even number on a six - sided die?

Question

  1. what are the chances of rolling an even number on a six - sided die?

Explanation:

Step1: Identify total outcomes

A six - sided die has 6 possible outcomes: 1, 2, 3, 4, 5, 6.

Step2: Identify favorable outcomes

The even numbers on a six - sided die are 2, 4, 6. So there are 3 favorable outcomes.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{3}{6}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$