Phone calls for a company are routed randomly to one of eight call centers. Six are based in the United States, and two are based in another country. What is the probability that an incoming call will be routed to a U.S.-based call center?

Rationale

The probability that an incoming call will be routed to a U.S.-based call center is 75%.

There are eight call centers in total, with six located in the United States. Therefore, the probability of a call being routed to a U.S.-based center is calculated by dividing the number of U.S. centers by the total number of centers, resulting in 6/8 or 75%.

A (25%) YOUR ANSWER

This option suggests that only a quarter of the calls are routed to U.S.-based centers. However, since there are six U.S. centers out of a total of eight, this percentage underrepresents the proportion of calls directed to the U.S.

B (33%) YOUR ANSWER

A probability of 33% implies that one-third of the calls go to U.S.-based centers. Given that there are six U.S. centers, this calculation is inaccurate and does not reflect the actual ratio of U.S. call centers to the total.

C (67%) YOUR ANSWER

This choice indicates that approximately two-thirds of the calls are routed to U.S. centers. While this is closer to the correct answer than the previous options, it still overestimates the probability, as the actual figure is 75%.

D (75%) CORRECT

This is the accurate calculation for the probability of a call being routed to a U.S.-based call center. With six out of eight centers based in the U.S., the probability is correctly computed as 6 divided by 8, or 75%.

Conclusion

The routing of calls to a U.S.-based call center is determined by the ratio of U.S. centers to the total number of call centers. With six U.S. centers out of eight overall, the probability is 75%, accurately reflecting the likelihood of an incoming call being directed to a U.S. location. All other options underestimate or misrepresent this probability.

Phone calls for a company are routed randomly to one of eight call centers. Six are based in the United States, and two are based in another country. What is the probability that an incoming call will be routed to a U.S.-based call center?

The probability that an incoming call will be routed to a U.S.-based call center is 75%.

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