Q. 235.0( 1 Vote )

An integer is cho

Given, Sample space is the set of first 200 natural numbers.

n(S) = 200

Let A be the event of choosing the number such that it is divisible by 6

n(A) = [200/6] = [33.334] = 33 {where [.] represents Greatest integer function}

P(A) =

Let B be the event of choosing the number such that it is divisible by 8

n(B) = [200/8] = [25] = 25 {where [.] represents Greatest integer function}

P(B) =

We need to find the P(such that number chosen is divisible by 6 or 8)

P(A or B) = P(A B)

Note: By definition of P(E or F) under axiomatic approach(also called addition theorem) we know that:

P(E F) = P(E) + P(F) – P(E F)

P(A B) = P(A) + P(B) – P(A B)

We don’t have value of P(A B) which represents event of choosing a number such that it is divisible by both 4 and 6 or we can say that it is divisible by 24.

n(A B) = [200/24] = [8.33] = 8

P(A B) =

P(A B) =

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

A natural number RD Sharma - Mathematics

In a single throwRD Sharma - Mathematics

One of the two evRD Sharma - Mathematics

A card is drawn aRD Sharma - Mathematics

One of the two evRD Sharma - Mathematics

The probability tRD Sharma - Mathematics

If the probabilitRD Sharma - Mathematics

Without repetitioRD Sharma - Mathematics

6 boys and 6 girlRD Sharma - Mathematics