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%.

With six out of a total of eight call centers located in the United States, the probability is calculated by dividing the number of U.S. call centers by the total number of call centers: 6/8, which simplifies to 75%.

A (25%) YOUR ANSWER

This option represents a miscalculation, suggesting that only two out of eight call centers are U.S.-based. To achieve a 25% probability, there would need to be only two U.S. call centers, which is not the case here.

B (33%) YOUR ANSWER

This percentage incorrectly implies that one-third of the call centers are located in the U.S. However, with six out of eight call centers situated in the U.S., this is not an accurate representation of the distribution.

C (67%) YOUR ANSWER

This choice indicates that two-thirds of the call centers are based in the U.S., which suggests there are approximately five U.S. centers. Since there are actually six U.S. call centers, this choice underestimates the actual probability.

D (75%) CORRECT

As stated, this is the correct calculation. With six U.S.-based call centers out of a total of eight, the probability is indeed 75%, calculated as 6 divided by 8.

Conclusion

The probability of routing an incoming call to a U.S.-based call center is accurately represented by the choice of 75%. This calculation reflects the ratio of U.S. centers to total centers, confirming that three-quarters of the options for call routing are domestic. The other choices misinterpret the distribution of call centers and thus provide incorrect probabilities.

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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