The problem with the '58000-1' odds headline is that it is true for all outcomes.
and that is why halk is right
You're contradicting yourself there

Halk says the odds are 1:240, so it cant be 1:58000 for all outcomes as well.
The problem with the '58000-1' odds headline is that it is true for all outcomes.
and that is why halk is right
You're contradicting yourself there
Halk says the odds are 1:240, so it cant be 1:58000 for all outcomes as well.
The difference is whether the outcome is pre-defined.
There is a 1/6 probability of "event A", an annual event, occurring.
Event A occurred last year. What are the chances of event A occurring this year? = 1/6
But, what was the probability of event A occurring both years in a row? = 1/36.
News article is correct. The odds of him being elected both years in a row should be the value squared. But the odds of him being elected this year, independently, is the original value.
The news article if correct if you want to know the odds specifically of John Mcdonald winning twice in a row.....snip
You're contradicting yourself there
Halk says the odds are 1:240, so it cant be 1:58000 for all outcomes as well.
not a contradiction at all. Halk is saying the story doesnt match the odds. I agree.
throw one dice twice - what are the odds of getting 6 then 6? What are the odds of getting 1 THEN 2? you answer one you answer the other.
The headline is saying 'amazing! one in 58000!'. But no matter who won the first, and who won the second, the probability of that is ALSO 1 in 58000. So the story isn't about that. It's about 'wow, the same guy won twice in a row'.
The odds are actually 240 to 1. The odds of rolling the same number twice on a six sided dice are 1 in 6, not 1 in 36.
Anyone with no grasp of basic statistics needs to go back to school.
You are confused,
lol
yes the chances of getting specifically two 6's is 1 in 36, but the chances of getting two 1's OR two 2's OR two 3's OR two 4's OR two 5's OR two 6's is 1 in 6.
I know
The chances of SOMEONE winning the Private Member's Bill ballot twice in a row is 1 in 240. You can only use the 58k figure if BEFORE the first ballot you asked "what are the chances that John McDonald will win this ballot AND the next one".
I know
Let me break it down for you,
no need
the chances that someone would win the first ballot was 1/1 or 100%. The chances that same person would then win the next one is then 1 in 240 (or 239 to 1 which ever you prefer). Thus the odds of ANYONE winning twice in a row is 239 to 1.
I know
Halk did make a mistake in his OP though...
No the odds are 1 IN 240, or 239 TO 1. So he still needs to go back to school![]()
err, so why am I confused?
The headline is saying 'amazing! one in 58000!'. But no matter who won the first, and who won the second, the probability of that is ALSO 1 in 58000. So the story isn't about that. It's about 'wow, the same guy won twice in a row'.
Anyone with no grasp of basic statistics needs to go back to school.
But I maintain, if the story is about "Wow the same guy won twice in a row" then the better figure to use would be 239 to 1.
Because the way this sentence scans seems like you are saying the chances of anyone winning twice in a row is 1 in 58k when it is 239 to 1....
I disagree. That's not the way we are used to seeing stats.
Imagine a story in a local paper about somebody who has won the lottery.
It wont say they have beaten odds of 1:2*, it will say they won against 1:13,983,816
(they give the odds for the specific individual, rather than general odds for anybody to win)
*odds estimated based on number of ticket sales and guess of overlapping tickets.
I'm trying to say the chances of any pairing is 1 in 58k
I disagree. That's not the way we are used to seeing stats.
Imagine a story in a local paper about somebody who has won the lottery.
It wont say they have beaten odds of 1:2*, it will say they won against 1:13,983,816
(they give the odds for the specific individual, rather than general odds for anybody to win)