A number x is chosen at random from the set { 1 , 2 , 3 , 4 , … . , 100 } . Define the event: A = the chosen number x satisfies ( x − 30 ) ( x − 10 ) ( x − 50 ) ≥ 0 Then P ( A ) is:

Question

A number x is chosen at random from the set { 1 , 2 , 3 , 4 , … . , 100 } . Define the event: A = the chosen number x satisfies ( x − 30 ) ( x − 10 ) ( x − 50 ) ​ ≥ 0 Then P ( A ) is:

TestHub · Accepted Answer

Given ( x − 30 ) ( x − 10 ) ( x − 50 ) ​ ≥ 0 Let x ≥ 10 , x ≥ 50 equation will be true ∀ x ≥ 50 as ( x − 30 x − 50 ​ ) ≥ 0 , ∀ x ∈ [ 10 , 30 ) x − 30 ( x − 10 ) ( x − 50 ) ​ ≥ 0 ∀ x ∈ [ 10 , 30 ) Total value of x between 10 to 30 is 20 . Total values of x between 50 to 100 including 50 and 100 is 51 . Total values of x = 51 + 20 = 71 P ( A ) = 100 71 ​ = 0.71

Mathematics - Probability Question with Solution | TestHub

Options:

Doubts & Discussion