Question

the theoretical probability of an event occurring is $\frac{2}{5}$. which best describes the experimental probability associated with this event? out of every 5 trials, the desired outcome will occur exactly 2 times. out of every 5 trials, the desired outcome will occur approximately 2 times. out of every 7 trials, there will be 2 desired outcomes and 5 undesired outcomes. out of every 7 trials, there will be 5 desired outcomes and 2 undesired outcomes.

Explanation:

Step1: Understand theoretical probability

Theoretical probability $\frac{2}{5}$ means that in an ideal - long - run situation, for a large number of trials, the proportion of the desired outcome is $\frac{2}{5}$.

Step2: Analyze experimental probability

Experimental probability approaches theoretical probability as the number of trials increases. For a small number of trials (like 5), we say the desired outcome will occur approximately 2 times out of 5 trials.

Answer:

Out of every 5 trials, the desired outcome will occur approximately 2 times.