Question

problem 2
which event is more likely: rolling a standard number cube and getting an even number, or flipping a coin and having it land heads up?

Explanation:

Step1: Calculate cube even probability

A standard number cube has 6 faces (numbers 1-3-5 odd, 2-4-6 even; 3 even outcomes). Probability = $\frac{\text{Number of even outcomes}}{\text{Total outcomes}} = \frac{3}{6} = \frac{1}{2}$

Step2: Calculate coin heads probability

A coin has 2 outcomes (heads, tails; 1 heads outcome). Probability = $\frac{\text{Number of heads outcomes}}{\text{Total outcomes}} = \frac{1}{2}$

Step3: Compare the two probabilities

Both probabilities equal $\frac{1}{2}$.

Answer:

The two events are equally likely; each has a probability of $\frac{1}{2}$.