Pretty standard question that has been asked before... keep flipping a coin until a winning combination appears (either HHT or HTT). Which strategy would you pick given the choice and why. Find the probabilities of winning associated with each strategy.
Essentially HHT is the better strategy. The probabilities are 2/3 HHT and 1/3 HTT. To see this if you draw a tree diagram (best to draw 4-5 iterations if you can't see it) and look at all the possible ways of winning. It turns out HHT is twice as likely to win hence the 2/3, 1/3 split.
By drawing 5 iterations, both HHT and HTT seem to make an appearance 7 times. How is HHT twice as likely to win?
The mathematical expectation of hte number of flipping for both compbinations is 25/2. In any case the probabilities of appearance of these compbinations are the same, so one can use both strategies with the same result. 50% 50%
You have a wall. It doesn't matter how big it is. You are given an Ivy (plant) which is set at the bottom of the wall. This Ivy grows at a rate which is squared the rate of the day before (ie. day 1: 1, day 2: 2, day 3: 4, day 4: 16, etc). If we buy another Ivy plant, putting it on the opposite side of the wall, which performs in the same way to the first, how much time would we be gaining?
Give me a personal situation. 1) Stressful situation 2) Teamwork where you had a different opinion, what did you do and what was the outcome? 3) Teamwork where you had a discussion, how did you solve it? 4) Situation when you had to explain something to someone who didnt understand 5) Something you have to improve and how you're working on it