To find the probability of getting heads when flipping a coin and an even number when rolling a 6-sided die, we can calculate the probabilities for each event separately and then multiply them together since these events are independent.
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Probability of getting heads:
- A coin has two sides: heads and tails.
- Probability of heads = \( \frac{1}{2} \).
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Probability of rolling an even number:
- A 6-sided die has the numbers 1, 2, 3, 4, 5, and 6.
- The even numbers are 2, 4, and 6, which gives us 3 favorable outcomes.
- Probability of rolling an even number = \( \frac{3}{6} = \frac{1}{2} \).
Now, we multiply the probabilities of these two independent events:
\[ P(\text{heads and even number}) = P(\text{heads}) \times P(\text{even number}) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} \]
Thus, the probability of getting heads and an even number is \( \frac{1}{4} \).
The correct answer is 1/4.