A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

A positive integer is picked randomly from 41 to 50, inclusive. What is the probability that it is divisible by either 3 or 5? Write your answer as a simplified fraction

  • This Question is Closed
  1. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    again we count only ten numbers to count 41,42,43,44,45,46,47,48,49,50 then we count the ones divisible by 3, and the ones divisible by 5

  2. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    All integers are divisible by 3 or 5. What I think you meant is divisible by 3 or 5 without a remainder right?

  3. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    divisible by 3: 42,45,48 divisible by 5: 45,50 just make sure not to count 45 twice (the whole point of this problem) so the set is {42,45,48,50} i.e 4 out of the 10

  4. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ya commodoc that is implied

  5. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so these events are not mutually exclusive and we apply the concept of union ?

  6. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well they are not mutually exclusive that is for sure, since 45 is both divisible by 3 and by 5

  7. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i am not sure what you mean by "concept of union" you would take the union of the two events in any case, whether they are mutually exclusive or not

  8. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but what is the concept of union and intersection in probability

  9. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    commdoc u can also try

  10. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    unions and intersections are set operations. so for the example above if A is "divisible by 3" and B is "divisible by 5" then \[A=\{42,45,48\}\] \[B=\{45,50\}\] \[A\cup B=\{42,45,48,50\}\] \[A\cap B=\{45\}\]

  11. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and you can see that \[P(A\cup B)=P(A)+P(B)-P(A\cap B)\]

  12. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so in union ever item is considered and in intersection only the common item is taken

  13. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hey commdoc u r doing which subject in ur ph.d?

  14. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ee with concentration in communications specifically coding theory

  15. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Hey satellite how do you get the drawings in the blog?

  16. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.