Question

A company has 25 employees. Each person travels to work using only one type of transport. The probability that an employee chosen at random drives to work is 8/25. The probability that they cycle to work is 11/25. What is the probability that an employee chosen at random either drives or cycles to work? Give the answer in its simplest form.

1) 8/25
2) 11/25
3) 19/25
4) 3/5

Answer 1

The probability that a randomly chosen employee either drives or cycles to work is the sum of the two individual probabilities, which is 19/25.

Step-by-step explanation:

To find the probability that a randomly chosen employee either drives or cycles to work, we simply need to add the probability of them driving to work to the probability of them cycling to work. The probability of driving is given as 8/25, and the probability of cycling is 11/25. These events are mutually exclusive, which means an employee cannot do both at the same time.

Therefore, the combined probability is:

8/25 (drives) + 11/25 (cycles) = 19/25

Thus, the probability that an employee chosen at random either drives or cycles to work is 19/25.