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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?​

Respuesta :

Answer: [tex]\dfrac{2}{87}[/tex]

Step-by-step 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 [tex]^5C_2[/tex] ways

The total no of ways is [tex]^{30}C_2[/tex]

Probability is

[tex]\Rightarrow P=\dfrac{^5C_2}{^{30}C_2}=\dfrac{5\times 4}{30\times 29}\\\\\Rightarrow P=\dfrac{2}{87}[/tex]

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