Wining The lottery all possible outcomes
Hello,
In the wining the lottery video probability video https://learn.365datascience.com/courses/probability/winning-the-lottery
at 1:34, it has been said that guessing all the numbers becomes 26 times less likely, therefore there are almost 300 000 000 different possible outcomes.
could you give more explanation on this? how is guessing all the numbers becomes 26 times less likely? and how did we get the 300 000 000 value as we have to independent events? 26 (possible ways to pick power ball number) * 11 000 000 (Total number of packing 5 numbers out of 69) != 300 000 000
1 answers ( 0 marked as helpful)
Hey Soufiane,
Thanks for reaching out!
how is guessing all the numbers becomes 26 times less likely?
Because even if we get all 5 numbers, we still need to guess the Powerball number to get the full jackpot.
how did we get the 300 000 000 value as we have to independent events?
This is a ballpark figure. We didn't see a huge merit to calculating the precise value here, because it hardly affects the end result.
26 (possible ways to pick power ball number) * 11 000 000 (Total number of packing 5 numbers out of 69) != 300 000 000
As explained above, this is a ballpark figure, since the end result P(x) = 0.00...003 will barely be effected.
Best,
365 Vik