Question
Two people enter a bus. Two adjacent cramped seats are
free. Each person must decide whether to sit or stand. Sitting alone is more comfortable than sitting next to the other person, which is more comfortable than standing. Suppose that each person cares only about her own comfort. Model the situation as a strategic game. Find its Nash equilibrium (equilibria?).Solution
There exist only one pure strategy Nash equilibrium (sit, sit) and the argument is same as that of Prisoner’s Dilemma discussed in theory.
A bowl contains 9 blue balls, 7 white, and 5 black balls. If 2 balls are drawn in one go, then the probability of exactly one ball being blue is:
- If 4 cards fall out while shuffling a deck of 52 cards, what is the probability that all of them are aces?
1. 1/ 52 C 4
2. 4/ 52... Five squares of a chessboard are chosen at random, the probability that three are of one colour and two of another is
Three cards are drawn randomly from a pack of 52 cards. What is the probability that one will be black and two will be red?
- A pair of dice is rolled once, what is the probability that the sum of the numbers on top is 5?
What will be the probability of choosing one red and one green ball from a basket containing 4 red and 5 green balls if two balls are drawn randomly?
A bag contains 8 red flowers and 11 yellow flowers. One flower is drawn at random. What is the probability that the flower drawn is a yellow flower?
Two dice are thrown simultaneously. Find the probability that sum of the numbers appeared on both the dice is at least 7.
In a box there are 3 red, 6 blue, and 9 yellow cards. One card is picked up randomly. What is the probability that it is neither red nor yellow?
- A bag holds 20 balls, each labeled with a unique number that follows a sequence of consecutive multiples of 5, beginning with 5. What is the probability of...
