Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
order
Group Title
A coin is tossed 8 times. Calculate the probability that the first 4 tosses and the last 4 tosses result in the same number of heads.
 2 years ago
 2 years ago
order Group Title
A coin is tossed 8 times. Calculate the probability that the first 4 tosses and the last 4 tosses result in the same number of heads.
 2 years ago
 2 years ago

This Question is Closed

lilg132 Group TitleBest ResponseYou've already chosen the best response.0
i hate these coin questions :(
 2 years ago

order Group TitleBest ResponseYou've already chosen the best response.0
The answer is 0.273... so not 15/64... but I'm not sure how to arrive at the answer.
 2 years ago

henkjan Group TitleBest ResponseYou've already chosen the best response.1
0 heads: 0.5^8 1 head in each: 0.5^8*16 2 heads in each: 0.5^8*36 3 heads in each: 0.5^8*16 4 heads: 0.5 ^8
 2 years ago

henkjan Group TitleBest ResponseYou've already chosen the best response.1
which totals to 0.273, indeed
 2 years ago

nitishanand Group TitleBest ResponseYou've already chosen the best response.0
okay, what i punched in was the number of ways, you can get heads in the first four tosses, my bad
 2 years ago

nitishanand Group TitleBest ResponseYou've already chosen the best response.0
and i got the sample space wrong too, pellete
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.2
0 1 2 3 4 5 6 7 8 1 8 28 56 70 56 28 8 1 if my pascal is right ... 70 * .5^4 * .5^4 = 35/128 = .2734
 2 years ago

order Group TitleBest ResponseYou've already chosen the best response.0
henkjan, That doesn't add up to the answer... But for all those who want to know how to get it, I finally solved it on my own. First, by getting the binomial distributions and then timesing each distribution by 2, and then adding them together :) Also, Amistre is right.
 2 years ago

nitishanand Group TitleBest ResponseYou've already chosen the best response.0
thanks :)
 2 years ago

henkjan Group TitleBest ResponseYou've already chosen the best response.1
it does add up to the answer... I think you pressed the wrong button on your calculator.. total = 0.5^8 *(1+16+36+16+1) = 0.5^8*70 = 0.273
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.2
just to practice the latex :) \[{n \choose r}\ p^r\ q^r\] \[{8 \choose 4}\ .5^4\ .5^4\]
 2 years ago

order Group TitleBest ResponseYou've already chosen the best response.0
Hmmm. I'll have to double check that! Sorry..
 2 years ago

order Group TitleBest ResponseYou've already chosen the best response.0
It still doesn't add up...
 2 years ago

henkjan Group TitleBest ResponseYou've already chosen the best response.1
ok, that's strange, it works here... I don't know how to help you further than..
 2 years ago

order Group TitleBest ResponseYou've already chosen the best response.0
It's Ok, I already have the answer :) Amistre has the correct answer, and I eventually found it myself. But thanks for trying anyway...
 2 years ago
See more questions >>>
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.