Seven new graduates are hired by an engineering firm. Each is assigned at random to one of seven cubicles arranged in a row in the back of the room that houses the engineering staff. Two of the graduates are Bill and Cathy. What is the probability that they are assigned adjacent cubicles?

0.2857

Step-by-step explanation:

The total number of ways that the seven new graduates can be seated is given by a permutation of placing 7 people in 7 spots:

In order for them to sit together, consider Bill and Cathy as a single 'block', the new number of ways to seat the graduates is given by a permutation of placing 6 people in 6 spots multiplied by 2 (Bill and Cathy switching spots):

The probability that Bill and Cathy are assigned adjacent cubicles is:

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076

i dont understand

step-by-step explanation: