The following dice game costs $10 to play. If you roll 1, 2, c your money. If you roll 4 or 5, you get your money back. If you win $24. (a) Find the distribution of your winnings W. (b) Find the expected value of the game.

Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as fractions.) (a) even and doubles(b) even or doubles

You are on a TV show. You have been asked to either play a dice game five times or accept a $120 bill. The dice game works like this: If you roll a 1 or 5, you win $50. If you roll a 4, you win $150. If you roll a 2, 3 or 6, you lose $30. Should you play the game? Answer yes or no. __________ Use expected values and decision theory to justify your answer. Please round the answer to two decimal places. Expected value of five games is $__________

Activity #4: PROBABILITY Read and analyze the problems, show your solution, and box the answer. 1. What would be the probability of a. picking a black card at random from a standard deck of 52 cards? b. picking a face card (i.e. a king, queen, or jack)? c. not picking a face card? 2. What is the probability of rolling, on a fair dice: a. a 3? b. an even number? c. zero? d. a number greater than 4? e. a number lying between 0 and 72 f. a multiple of 3 given that an even number was drawn? 3. A standard deck of playing cards is well shuffled and from it, you are given two cards. You can have 0, 1, or 2 aces: three possibilities altogether. So, the probability that you have two aces is equal to 1/3. What is flawed about this argument? 4. You shuffle a deck of playing card, and then start turning the cards one at a time. The first one is black. The second one is also a black card. So is the third, and this happens up to the 10th card. You start thinking, "the next one will likely be red!"…

The probability model below describes the number of repair calls that an appliance repair shop may receive during an hour. Repair Calls 1 2 3 4 Probability .3 .3 .2 .1 Find the probability that 2 or more repair calls will be received in the next hour.