Employees at a Hospital Years Worked Nurse Doctor Technician Total Less than $2$ $20$ $10$ $20$ $50$ $2$ to $5$ $15$ $15$ $10$ $40$ $6$ to $10$ $13$ $18$ $18$ $49$ More than $10$ $12$ $10$ $12$ $34$ Total $60$ $53$ $60$ $173$ The table above shows the years worked by employees at a hospital. Calculate the probability that a technician has worked for $6$ or more years.

Using the basic probability formula, we divide the number of favorable outcomes by the total number of possible outcomes. The number of technicians who worked for 6 or more years is the sum of those who worked 6 to 10 years and more than 10 years, which equals 18 plus 12 to give 30 technicians. We then divide this 30 by the total number of 60 technicians to get a probability of 0.5. This converts to 50 percent.

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