Probability of 2 students being chosen the both have under 100 books at home Suppose we select two

Reed Eaton

Reed Eaton

Answered question

2022-06-10

Probability of 2 students being chosen the both have under 100 books at home
Suppose we select two students at random from the class of fifteen. What is the probability that both students chosen have less then 100 books at home?
Data provided is the amount of books each student has at home. There are 6 out of the 15 students that have less than 100 books:
33, 47, 48, 52, 56, 66, 173, 186, 251, 300, 323, 417, 450, 1280, 2000
I tried doing 6/15 x 5/14 = 30/210 or a 14% chance. Is this correct?
Thank you!

Answer & Explanation

seraphinod

seraphinod

Beginner2022-06-11Added 22 answers

L 1 is the event that the first student has less than 100 books,
L 2 is the event that the second has less than 100 books.
P ( L 1 L 2 ) = P ( L 1 ) P ( L 2   |   L 1 )
= 6 15 5 14

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