Question

Susan, John, Lisa, and Michael share an office. Two of them will be randomly chosen to change offices by drawing names out of a hat. What is the probability that Michael will be chosen first and Susan will be chosen second.

Answer 1

8.33% probability that Michael will be chosen first and Susan will be chosen second.

Explanation:

Initially, there are 4 people(Susan, John, Lisa, and Michael). The probability of Michael being chosen first is 1/4.

Now, suppose Michael was chosen.

There are 3 people(Susan, John and Lisa). The probability of Susan being chosen is 1/3.

What is the probability that Michael will be chosen first and Susan will be chosen second.

Multiplying these probabilities

`p = (1)/(4)*(1)/(3) = (1)/(12) = 0.0833`

8.33% probability that Michael will be chosen first and Susan will be chosen second.