Question

Lennox must make two dentist appointments in November. He writes the numbers from 1 to 30 on papers to represent the days that he could go to the dentist, puts them in a bag, and pulls two papers at random from the bag without replacement. What is the probability that both appointments will be within the first five days of November?​

Answer 1

Answer:
`(2)/(87)`

Explanation:

Given

Lennox marks 30 papers to represent the dates

He has to choose two papers marked 1 to 5 to get the appointment within the first five days of November

This can be done in
`^5C_2` ways

The total no of ways is
`^(30)C_2`

Probability is

`\Rightarrow P=(^5C_2)/(^(30)C_2)=(5* 4)/(30* 29)\\\\\Rightarrow P=(2)/(87)`