A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
help with this one plz
suppose there are three students and each student tosses a coin 10 times. so what is the chance that at least one of the students gets exactly 5 heads.
anonymous
 3 years ago
help with this one plz suppose there are three students and each student tosses a coin 10 times. so what is the chance that at least one of the students gets exactly 5 heads.

This Question is Closed

reemii
 3 years ago
Best ResponseYou've already chosen the best response.2\(P(\text{at least one .... happens}) = 1  P(\text{no such thing happens}).\) In general, this makes computations easier. You must compute \(1P(\text{none of the 3 students got exactly 5 heads})=1(P(A))^3\) where \(A=\{\text{one student does not get exactly 5} \}\). To compute P(A), use the same trick: P(A)=1P(it gets exactly 5 heads).

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@reemii please guide me how to calculate P(A)

reemii
 3 years ago
Best ResponseYou've already chosen the best response.2\(P(\text{a student doesn't obtain exactly 5 heads}) = 1  P(\text{a student obtains exactly 5 heads})\) (in 10 tosses) So we will compute : \(P(\text{5 heads in 10 tosses})\). A head appears with probability 0.5. Here you are in the situation of a binomial distribution. (\(X\sim\text{Bin}(10,0.5)\) and you want to know \(P(X=k)\)). Now it's just a formula.

reemii
 3 years ago
Best ResponseYou've already chosen the best response.2oops, first line is P(not 5 heads) = 1  P(exactly 5 heads).

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0many thanks fot the explanation :)
Ask your own question
Sign UpFind more explanations on OpenStudy
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
 Engagement 19 Mad Hatter
 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.