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Mathematics 13 Online
OpenStudy (anonymous):

http://prntscr.com/1cltdc explain this!

OpenStudy (anonymous):

@shubhamsrg

OpenStudy (anonymous):

@tcarroll010

OpenStudy (anonymous):

P(h) = P(t) = 0.5 For any event occuring n times, the chance of success r times is given by, \[C (n,r)= P ^{r} * Q ^{n-r}\] So, your chance of getting heads up i.e P(h) once, and P(t) twice is, C(3,2) * (0.5) * (0.5)^2 = 0.375

OpenStudy (shubhamsrg):

whats your sample space?

OpenStudy (anonymous):

i didn't get this!

OpenStudy (anonymous):

i don't know.... :/

OpenStudy (shubhamsrg):

sample space means all the possible outcomes you can get

OpenStudy (shubhamsrg):

like some of them are HTT , HTH, TTH, TTT etc can you mention all ?

OpenStudy (anonymous):

@Farheen28 I gave you the formula.. you have to go through that.. See, throwing up three coins simultaneously is like trying out same experiment n times [ n=3 here] You want heads up once ( i.e. r=1 times success) which automatically implies that remaining two times ( n-r = 3-2 =1 ) times it is going to be tails up.. But you don't know which coin is going to come heads up, either of three may give you that even when your desired outcome exists... So, there are C(3,2) = 3 ways of getting our desired outcome..

OpenStudy (anonymous):

HHHH HTH HTH HTT TTT THT TTH THH

OpenStudy (shubhamsrg):

that is correct. Now see from sample space tell the number of favorable outcomes? i.e. no. of times exactly 1 head appears

OpenStudy (anonymous):

3/8=0.375

OpenStudy (shubhamsrg):

(Y)

OpenStudy (anonymous):

thanks !

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