Numerical: You are given a bag of book, it contains 2 Science Books, 4 History Books, 3 English Literature, 4 Mathematics Books ?a) Determine probability to select 1 science book , 2 history books , 2 mathematics b) Determine probability to select 8 history books , 5 Mathematics, 2 science books *Numerical: You are given a bag of book, it contains 2 Science Books, 4 History Books, 3 English Literature, 4 Mathematics Books ?a) Determine probability to select 1 science book , 2 history books , 2 mathematics b) Determine probability to select 8 history books , 5 Mathematics, 2 science books *
Answers
Given : a bag of book contains 2 Science Books, 4 History Books, 3 English Literature, 4 Mathematics Books
To find : Determine probability to select 1 science book , 2 history books , 2 mathematics
Solution:
Science book = 2
History books = 4
English literature = 3
Mathematics = 4
Total Books = 13
a) Determine probability to select 1 science book , 2 history books , 2 mathematics
Books selected = 5
Number of ways of selecting 5 Books = ¹⁴C₅ = 2002
Number of ways of selecting 1 science book , 2 history books , 2 mathematics = ²C₁ * ⁴C₂ * ⁴C₂
= 2 * 6 * 6
= 24
probability to select 1 science book , 2 history books , 2 mathematics = 24/2002
= 12/1001
b) Determine probability to select 8 history books , 5 Mathematics, 2 science = 0
as books are not available in that quantity
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