One day, an elf jumps out at you from behind a garbage can and proposes a wager. He says that if the weather in Leipzig, Germany tomorrow is sunny, he'll give you $20, if it's cloudy (but dry) he'll give you $1, but if neither of those are the case you owe him $15. Helpfully, he also provides you data that indicates that the probability of sunny weather in Leipzig tomorrow is 40% and cloudy-but-dry is 10%. How much do you expect to win or lose from this wager (if you accept it)? A)Win $15.60 B)Lose $6.00 C)Lose $7.50 D)Win $0.60 E)Win $4.00

In the game of 10-pin bowling the bowler has two attempts to knock down pins for every frame of 10-pins, and scores a point for each pin knocked down. If all the pins are knocked down with two attempts, the bowler gets a bonus - whatever score they obtain with their next bowl is doubled. If all the pins are knocked down on the 1st attempt, no 2nd attempt is allowed, and the bowler gets a bonus – whatever score they obtain on their next two bowls are doubled. A student attempts to capture this scoring system in VHDL code, a fragment of which is shown in Figure Q4. Q4 (a) Draw the state transition diagram described by the VHDL of Figure Q4. Discuss whether the VHDL of Figure Q4 correctly scores a game of 10-pin bowling. (b) elsif CLK='1' and CLK'event and UPD='1' then case present state is when throwl => frame := frame + 1; + resize (unsigned (N), 9) score := score if N = w1010" then present state score := score + resize (unsigned (N), 9) present state + resize (unsigned (N),9) if N =…

Sabrina is on a game show and is presented with a drawer containing 10 red socks, 10 blue socks, 10 green socks, and 10 yellow socks. Sabrina is to take socks out of the drawer and put them in a bag. She will win $1 for every sock she puts in the bag, as long as the bag does not contain 5 or more socks of one color and 5 or more socks of another color. For example, if she takes 5 red, 4 blue, 3 green, and 2 yellow socks, she would win $14. However, if she took 5 red, 5 blue, 3 green, and 2 yellow socks, she would not win anything because there are two colors (red and blue) that have 5 or more socks each. What is the most money that Sabrina can win? Enter your answer as a single integer only (no words, no dollar signs). A/ What is the minimum number n such that if n socks are removed from the drawer and put into a bag, that the bag will necessarily contain at least 5 socks of one color and at least 5 socks of another color? Enter n as a single integer, no words.

A band of thieves comes up with a series of rules for hiding their loot so that they are always able to find it. The rules are as follows: If the house is next to a lake, then the treasure does not go in the kitchen If the tree in the front yard is an elm, then the treasure is in the kitchen The tree in the front yard is an elm or the treasure is buried under the flagpole If the tree in the backyard is an oak then the treasure is in the garage. You observe that the house where the treasure is hidden is next to a lake. Where is the treasure?   discrete math

Suppose a person can buy a chocolate bar from the vending machine for $1 each.  Inside every chocolate bar is a coupon.  A person can redeem 3 coupons for one chocolate bar from the machine.  This means that once a person has started buying chocolate bars from the machine, he/she always has some coupons. A person would like to know how many chocolate bars can be bought, if a person starts with N dollars and always redeem coupons, if he/she has enough for an additional chocolate bar. For example: With 3 dollars a person could buy 4 chocolate bars after purchasing 3 bars giving him/her 3 coupons and then redeeming the 3 coupons for one bar.  This would leave him/her with one extra coupon. Thus, will have 4 chocolate bars and still have one coupon leftover. For 11 dollars, a person can have 16 chocolate bars and still have one coupon leftover.  For 12 dollars, a person can have 17 chocolate bars and have two coupons leftover. Write a complete Python program that prompts a buyer to input…