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Problem 1: Find the indicated probability. Round to the nearest thousandth. A sample of 4 different calculators is randomly selected from a group containing 16 that are defective and 30 that have no defects. What is the probability that at least one of the calculators is defective?
Option 1: 0.819
Option 2: 0.168
Option 3: 0.16
Option 4: 0.832
Problem 2: One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below shows the results. If one of the 100 employees is randomly selected, find the probability of getting someone who carpools or someone who works full time.
Full time Part time
Public Transportation 7 10
Bicycle 4 3
Drive alone 30 31
Carpool 6 9
Option 1: 0.56
Option 2: 0.53
Option 3: 0.25
Option 4: 0.62
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