9. Use the theoretical probabilities from page 2 to calculate the expected value for each player in the game described below. Game: Everyone pays $1 per roll. Two dice are rolled and the outcomes are summed. • Player A wins $3 if the sum is 6 or less Player B wins $1 of the sum is 7 Player C wins $3 if the sum is 8 or greater • ●

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!"…

An adventurous aardvark is a card shark and gambler. He offered to let you play in a game with him. To play you must pay him $2. If you pick a spade you win $9 what is the expected value for you if you play this game with the aardvark?

You pay $3.50 to play the following game:Each of two fair dice are numbered with 3 on one side, a 2 on two sides, and a 1 on three sides.The dice are rolled once and you are returned the dollar amount corresponding to the sum on thefaces. What is the expected earning from the game?

A player pays 4 to play the following game The player tosses three fair coins and receives payoifs of 1 if he tosses no heads, 2 for one head, 3 for two heads, and 5 for three heads. What is the player's expected net winnings (or loss) for the game?

Chandler offers you the opportunity to play his $2 game where he shuffles four cards and you must pick the correct one. What is the expected profit per person if the prize is a $1.25 coke for the game?Single line text.

You toss a coin three times. If you toss heads exactly two times, you win $2. If you toss heads all three times, you win $8. Otherwise, you lose $3. What is the expected payout for one round of this game? Round your answer to the nearest cent. Enter an expected loss as a negative number.

Suppose it costs $29 to roll a pair of dice. You get paid 4 dollars times the sum of the numbers that appear on the dice. What is the expected payoff of the game? Is it a fair game?  The expected payoff of the game is $? is it a fair game?