The solution to the Olbers paradox is that there are many things in between the stars and the Earth, like nebula which absorb nearly all visible light

i am stuck on probability hw

😠

ironically i have probability hw i should be doing rn

i get answer two different ways that both seem right but they both different

yuck

There is light everywhere in the universe in the form of the cosmic microwave background

u can post the question and i can try to help if u want

im not sure if i can

"Jimmy is one of n people playing a game. They take turins flipping a biased coin for which the probability of heads is equal to p and tails is q= 1-p. They will go one after another in a predetermined order; once someone flips heads the game is over and he/she is declared the winner." Find a closed form expression for the expected value of the number of times jimmy flips the coin if he is LAST in line

I have my first method which is

E(coin flips) = 0*p(J doesnt flip) + 1*p(J flips and wins) + (1 + E(coin flips))*p(J flips and doesnt win)

but this doesnt give me same answer as brute forcing

1p(j wins first flip) + 2(j wins 2nd flip) + 3(j wins 3rd flip) + .....

and evaluating series

so the expected number of total flips for everyone is 1 / p is i believe

50%

oof

i got for the first method

q^(n-1)/(1 - q^n)

and for second method

thats just total flips not for jimmy

oh you mean flips til game ends

yeah

ok

so a heuristic (not exact) probability would be 1 / pn

the probability of reaching the nth flip is q^(n - 1) i think

so its the sum from i = 1 to i = infinity of q^(i * n) * p

if n = 2 and p = 0.5

thats 0.5 ^ 2 * 0.5 + 0.5 ^ 4 * 0.5 + 0.5 ^ 6 * 0.5... etc

which i think is right

ello my fellow flattists

oh

wrong place

i think most of the flat earthers are offline rn

'good day

lolwhat

earlier, i asked how flat earth accounts for 24 hour sunlight in the antarctic during the summer solstice and citizen ice responded with this gif https://cdn.discordapp.com/attachments/484516084846952451/652017778206965760/FEEarthBestProof.gif

the problem is that gif contradicts the earlier explanations ive been given for how season work in flat earth?

that clip fails to explain for the antartic

thank you