Sales representative interview questions shared by candidates
2nd Round: You have a deck of cards, 26 red, 26 black. These are turned over, and at any point you may stop and exclaim "The next card is red.". If the next card is red you win £10. What's the optimal strategy? Prove this is the optimal strategy.
The simplest strategy is not to wait until any card is open and say the next one is red, than you have 26/52 chance of success. All other strategies require conditional probabilities, so when multiplying by the probability of that condition the overall probability is not going to be greater than 1/2.
Regardless of your strategy, your probability of winning is 1/2
Nope the optimal strategy is to count the amount of black cards that come up until you hit 26 and obviously the next one is red