Question

question 12
the probability of rolling an even number on a die is \\( \frac { 1 } { 2 } \\).
does this probability mean that, if you roll the die two times, one even number will appear? if not, what does it mean?
a no, but if the die was rolled 10 times, 5 outcomes would be even numbers.
b no, a probability of 1/2 tells us nothing.
c no. it means that if a die were rolled many times, about 1/2 of the outcomes would be even numbers.
d yes

Explanation:

Probability represents the likelihood of an event occurring over a large number of trials. A probability of \( \frac{1}{2} \) for rolling an even number on a die means that if the die is rolled many times (approaching infinity), approximately half of the outcomes will be even numbers. It's a long - term average expectation, not a guarantee for a specific small number of rolls (like 2 or 10 rolls).

Answer:

C. No. It means that if a die were rolled many times, about \( \frac{1}{2} \) of the outcomes would be even numbers.