Hello! first I would like to say that Im from sweden and our math "lingo" might not be the same but I hope you will understand.
the probability to get a 6 on a dice is 1/6 , but lets say I am about to throw the dice 3 times , what is the probability for me to get a 6 three times IN A ROW, the last part is really important, im not a math teacher but i think this is the correct answer:
1/6* 1/6* 1/6= 1/216=0,0046296296296296296296296296296296 or
( dont know how to make that wavey equal sign thingy on the computer but I hope you understand) =0,5%
my teacher says its like this 1/6 + 1/6 + 1/6 = 3/18 = 1/6 = 17% but I know that its incorrect , the probability for a person to get a 6 on the dice 3 times in a row cant possibly be 17% it just defies common sense! but I need to know if im correct and how do i explain this to my teacher ( my teacher is actually really good but he is from pakistan and is teaching in sweden so the communication might be kinda off but i would really appreciate if you would write mathematicly correct in english becouse i know that he understands english better than swedish.)
and by the way do you guys got a good website for learning math? I got the highest grade in english so i would appreciate it if it was in english.( my swedish is actually worse than my english...) thanks for your time.
and 1 more thing what do i write where the asterisk is in: P(*)
if im going to calculate the probability for something lets say 3 times in a row , thank you once again!.