Answer:
0.48
Step-by-step explanation:
Our given parameters include:
There are 5 hotels in Stony Brook( i.e Number of hotels ) = 5
If 3 people check into hotels (i.e number of people that check-in) =3
This typical implies that each individual personnel out of 3 check-in 5 different hotels, therefore, the total outcomes = 5 × 5 × 5
= 125
Let's take an instance on the three personnel:
Let's say the first personnel check-in at one hotel out of the five hotels;
we have:
= 5C₁
= 5
And, the second personnel check-in at one hotel out of the four hotels; we have:
= 4C₁
= 4
Likewise the third personnel check-in at one hotel out of the three hotels; we have:
=3C₁
=3
∴ The probability that they each check-in into a different hotel can now be determined as:
= [tex]\frac{5*4*3}{125}[/tex]
= 0.48
