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In today's business world, computer viruses can be lethal to the operations of a company. Suppose a local business has 32 laptop computers, and, unknown to the company, six of these are infected with the deadly OUCH disease. The CEO of the company is making a big presentation at a major client and has randomly selected two of the laptops to use during the presentation. Find the probability that at least one of the computers selected for the presentation is infected by the OUCH virus.

a) 0.237
b) 0.807
c) 0.963
d) 0.063

1 Answer

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Final answer:

To find the probability that at least one of the computers selected for the presentation is infected with the OUCH virus, we can calculate the probability that none of the computers selected are infected and subtract it from 1. The probability is 0.328.

Step-by-step explanation:

To find the probability that at least one of the computers selected for the presentation is infected with the OUCH virus, we can use the concept of complementary probability. Let's find the probability that none of the computers selected are infected with the virus and subtract it from 1 to find the probability that at least one of the computers is infected.

The total number of laptops is 32, and out of these, 6 are infected with the OUCH virus. So, the probability that a randomly selected laptop is infected is 6/32.

To find the probability that none of the computers selected are infected, we need to calculate the probability that both selected computers are not infected. The probability that the first selected computer is not infected is 26/32, and the probability that the second selected computer is not infected (assuming the first selected computer was not infected) is 25/31.

Now, we can calculate the probability that none of the computers selected are infected: (26/32) * (25/31) = 0.672.

Finally, we subtract this probability from 1 to find the probability that at least one of the computers selected is infected: 1 - 0.672 = 0.328.

Therefore, the answer is 0.328, which is not one of the options provided. The correct answer is not given in the options.

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