Hello! It's time for another giveaway-- whoop whoop!
Your math question for today is
Suzy the Snowman and Douglas are playing tennis. It is currently a deuce (a tie), every ball Suzy has a 1/3 probability of winning and Douglas has a 2/3 probability of winning. The game is won when someone is ahead by more than two points. What is the probability that Suzy wins?
1/9 with 2 points in a row at deuce, or 1/27 at Advantage for Douglas. Or 1/3 at Advantage for Suzy
Can't really get a better answer, because the game could go on infinite.
Best answer i can think of is 1/3 on AD Suzy, 1/9 at deuce and 1/27 ot AD Douglas
edited by RKE-KevinAFCA tuesday 19/11/2019, 13:33
LOL okay. Only 3 ppl have gotten the question right. All of whom DMed, me.
Thus, I will be granting only 3 prizes.
1st Place: 100K+100K=200K card of choice.
2nd Place: 50K+50K=100K card of choice.
3rd Place 25K+25K=50K card of choice.
The winners are the following people:
1st Place: Pere-sonne
2nd Place: FBF_Luis
3rd Place: Manifold
Congratulations! Please dm for the character you want.
For this question, I will offer two solutions.
Solution 1: Let p be the probability that Suzy wins from the deuce position. Then consider two balls after the deuce. Either Suzy has won with probability 1/9, Doug has won with probability 4/9 or it is a deuce again with probability 4/9. Therefore, we can set up this equation: p=1/9+4/9p solving for p we get that Suzy wins with probability 1/5
Solution 2: We can reduce this to the sum of a geometric sequence. Namely the geometric sequence 1/9+4/9*1/9+4/9^2*1/9... The sum of this infinite geometric sequence is (1/9)/(1-4/9)=1/5.
If you have any questions let me know.