Question

pre-algebra ic sem 2 fall 2025
counting and probability
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 7 trials,
there will be 5 desired
outcomes and 2
undesired outcomes.
out of every 7 trials,
there will be 2 desired
outcomes and 5
undesired outcomes.
out of every 5 trials,
the
desired outcome will
occur approximately 2
times.

Explanation:

Step1: Recall the formula for theoretical probability

Theoretical probability \(P=\frac{\text{Number of desired outcomes}}{\text{Total number of outcomes}}\). Here, if we consider the description in the box, when we say "out of every 7 trials, there will be 5 desired outcomes and 2 undesired outcomes", the theoretical probability \(P = \frac{5}{7}\).

Step2: Recall the formula for experimental probability

Experimental probability is based on actual trials. If we say "out of every 5 trials, the desired outcome will occur approximately 2 times", the experimental probability \(P=\frac{2}{5}\).

Answer:

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