What is the probability that a participant at a tech conference chose a black smartwatch if they have a choice between a smartwatch or a portable speaker and the probability options given?

To determine the probability of a participant at the tech conference choosing a black smartwatch, we need to consider the total number of choices available and the specific option being considered.

If participants are given a choice between a smartwatch and a portable speaker, these represent the two possible options available to them. To calculate the probability of selecting a black smartwatch, we look at the scenario where the black smartwatch is one of the two choices.

Assuming that there are no other influencing factors (such as different preferences or biases), the basic principle of probability suggests that the likelihood of choosing either option can be framed as the ratio of favorable outcomes to the total choices. In this case, there is 1 favorable outcome (choosing the black smartwatch) out of 5 total options presented.

Thus, if participants are equally likely to pick any of the choices, the probability can be computed as follows:

• Total options: 5

• Favorable outcome (choosing the black smartwatch): 1

This leads to the calculation:

Probability = Number of favorable outcomes / Total number of outcomes = 1 / 5.

This indicates that the probability of a participant choosing a black smartwatch when given a choice between various options is indeed 1/5, confirming that this is the