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 25. The probability that they cycle to work is b. What is the probability that an employee chosen at random cycles to work?

1) b
2) 1-b
3) 25
4) cannot be determined

Answer 1

The probability that an employee chosen at random cycles to work is 1 - b.

Step-by-step explanation:

Given that the probability an employee chosen at random drives to work is 25, and we are looking for the probability that an employee chosen at random cycles to work,

we can use the fact that the sum of all probabilities must equal 1.

Let's denote the probability that an employee cycles to work as 'b'. We know that the probability of driving to work is 25.

Therefore, the total probability of driving and cycling to work must equal 1.

So we have the equation: 25 + b = 1. From this equation, we can solve for b. Subtracting 25 from both sides gives us: b = 1 - 25.

Therefore, the probability that an employee chosen at random cycles to work is 1 - 25, which simplifies to 2) 1 - b.