Question

A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 55% chance of hiring at least two candidates. There is only a 6% chance that it will not make any hires and a 20% chance that it will make all three hires. What is the probability that the firm will make at least one hire?

Answer 1

The probability that the marketing firm will make at least one hire is 94%, calculated using the complement rule which is 1 minus the probability of making no hires (6%).

Step-by-step explanation:

To find the probability that the marketing firm will make at least one hire, we need to consider the provided probabilities for all possible hiring scenarios and use the complement rule. The probability of making no hires is 6%. The probability of making at least one hire is the complement of making no hires, which can be expressed as 1 minus the probability of making no hires.

So, the probability of making at least one hire is 1 - 0.06 = 0.94, or 94%.

Remember, the complement rule states that the probability of an event not occurring is equal to 1 minus the probability that the event does occur. This approach can be used when it's easier to calculate the probability of the complementary event.