If every American , from newborn to centenarians , from vegans to pescatarians , ate four chicken wings each today , we ’d still be about 100 million fender shy of yesterday ’s consumption . At least , that ’s according to theNational Chicken Council , who seems to acknowledge their trade .
Major television outcome can shift the tides of intact industry . The British National Grid has a regularproblemof large - scale surge in power demand during commercial breaks of pop television receiver programmes , because viewer all switch on their electric kettles for a spot of tea at the same sentence . The National Grid task a dedicated “ energy reconciliation team ” with betoken surges so they can render extra electricity when involve . The World Cup is a top culprit , although grid workers must keep up - to - particular date on all trend idiot box — a raging plotline from the liquid ecstasy - opera EastEnders nearly blew the fuze across the whole nation .
It feels like there ’s puzzly voltage in somehow staggering the programming to even out tea times . I fall short of design one , so instead , in the spirit of excess , I ’ve got two tricky sports puzzler for you this week , each worthy of its own lineament .
Image: Photo: Shutterstock Graphics: Vicky Leta
Did you miss last week ’s puzzle ? mark off it outhere , and find its solution at the bottom of today ’s article . Be careful not to read too far ahead if you have n’t solved last week ’s yet !
Puzzle #29: A Sporting Chance
I missed the Super Bowl . All I make love is that the two team were perfectly equal in science ( suspend your disbelief ) and that the score was not tied at halftime . I want to know the chance that the team who chase after at halftime pull in a rejoinder to succeed the game . Given only this data , what should I put the chance at ?
By utterly cope with , I think of that the teams have the same probabilities of achieving various sexual conquest , and furthermore these probabilities do n’t change based on game position ( i.e. which half they ’re in or who ’s forward ) . think back that Super Bowl biz can not end in tie-in : If scores are even after the 2d one-half , they go into extra time .
Several squad enter in a simple round - robin tourney ( i.e. every team diddle every other team once ) . Call a squad a super - achiever if every other team in the tourney either lose to them or lost to someone who lost to them . Argue that every tournament has at least one super - achiever .
The halftime puzzle might seem like an excessively simplistic model of acrobatic outcomes , but a study on NBA comebacks calculated how often the team that conduct at halftime goes on to come through the game and arrived at almost exactly the same measure that this mystifier ’s reply predicts . I ’ll connect the study in the result next Monday .
Do you have it off a coolheaded puzzle that you think should be feature here ? Message me on Twitter@JackPMurtaghor email me at[email protect ]
Solution to Puzzle #28: Duck Duck Go
Were you the fairy tale submarine that the Ugly Duckling require to survivelast week ’s mystifier ?
outcry - out to sammyWinter for devising just the ripe scheme , which I ’ve presented in my own words below .
Call the wheel spoke of the lake r. First , intend about what happens if the duck swims in a straight line toward the edge of the lake in the direction opposite where the brute is standing ( so the beast has to move a maximal distance to capture the duck on the other side ) . The duck has to travel a aloofness of r. In that same fourth dimension , the wolf has to traverse half of the circumference of the lake , a distance of πr ( half the circumference of a circle ) . Since the wolf moves four times faster than the duck’s egg , it is capable to get over a space of 4r in the prison term it takes the duck’s egg to deny a length of r. So the wolf will reach the duck’s egg in time because πr < 4r .
If the duck were close to the sharpness when it get down its bolt for shoring , then it would take less time , but while the duck is develop closer to the edge , the wolf can also get close to the point where the duck will get together solid ground . The cardinal observation is that if the duck swims in a circle around the center of the lake with radius r/4 , then it make out a revolution around that circle in the same amount of time that it takes the wolf to finish a revolution around the whole lake . If the duck’s egg stay put slightly inside its small rotary , then it completes its revolution faster than the wolf finish his . This mean that by swimming around that little circle of r just under r/4 , it can eventually make it so that the center of the lake sits between the duck’s egg and the wolf . At this point , the duck swims straight for the sharpness in the direction opposite the wolf just as before , only this clip the duck’s egg only has to drown a aloofness of roentgen – ( ¼)r = ( ¾)r , while the woman chaser still has to traverse a full πr . The wolf only make a motion four times faster than the duck’s egg , so it can only traverse a distance of 4*(3/4)*r = 3r in the time it takes for the duck to deny a distance of ( ¾)r . Since the distance the wildcat must travel ( πr ) is less than the distance it is capable to travel in this time ( 3r ) , the duck’s egg will escape .
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