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B1 中級 英語 19:31 Educational

Math Magic

Vsauce · 13,803,063 回視聴 · 追加日 3週間前

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00:05

hey vauce Michael here if you rearrange

00:09

the letters in William Shakespeare you

00:12

can spell here was I like a

00:16

Psalm in the King James Bible in Psalm

00:20

46 the 46th word is shake and the 46th

00:25

word from the bottom is

00:28

spear William Shake spear was 46 years

00:32

old when the King James Bible was

00:34

completed is this just a

00:39

coincidence yes it is given enough

00:43

searching enough words enough data you

00:45

can eventually find and should indeed

00:48

expect all kinds of neat coincidences

00:51

it's just probability here's another

00:53

good example think of a card any card

00:57

value and suit

01:00

okay got it mentally focus on that card

01:05

deliver it to my brain using

01:09

ESP whoa huh I I got it here it is

01:14

amazing right now think of another card

01:18

are you ready okay it's um well it's

01:21

this one right one more time think of a

01:24

card really think about it and there it

01:28

is

01:31

impressed probably not but approximately

01:35

seven of you might be you see there are

01:39

only 52 cards if each card is equally

01:42

likely to be thought of I had a one in

01:45

52 chance of guessing your card and

01:48

about a one in every 140,000 chance of

01:52

doing so three times in a row if say a

01:56

million people watch this video and play

01:59

along after three tries you could expect

02:02

about seven people to be left who had

02:04

their imagined card pulled by me each

02:07

time except not more than seven actually

02:11

you see there's even more magic

02:13

happening here and by magic I mean math

02:17

when asked to arbitrarily think of a

02:19

card Studies have shown that people tend

02:22

to think of certain cards more often

02:24

than others these are the results from a

02:27

study of a few hundred people hearts are

02:29

named a bit more often than the other

02:31

suits the three cards I drew are the top

02:34

three most often thought of but would it

02:37

be more amazing if it actually was

02:42

magic yes and no obviously magic as a

02:47

performance is important it reminds us

02:49

that being stupified and curious and

02:52

humbled is fun without a visceral

02:55

reaction to the unknown would we care to

02:57

learn or study or investigate

03:00

but yet explanations don't dull mystery

03:05

they empower the mystified explanations

03:08

aren't ins they're

03:12

inces the start of an ability to use

03:15

reassemble and reimagine new things out

03:17

of what you now know here's a cool fact

03:20

if you divide a deck of cards exactly in

03:23

half there will always be the same

03:26

number of red cards in one half as there

03:28

are black cards cards in the other no

03:31

matter how mixed up the cards were

03:33

before you began it's not magic though

03:37

it's just math think of it this way half

03:41

of the cards in a deck are red so all

03:44

the red cards could fit in one deck half

03:47

this means that the number of cards in a

03:49

half that aren't red that is our black

03:52

cards are necessarily equal in number to

03:55

the Reds that must be in the other half

03:58

knowing this you can devise an even

04:01

neater trick like the really cool trick

04:04

Matt Parker just showed off on his

04:05

channel which you should subscribe to or

04:08

like this one take an easier to count

04:10

number of cards like say 10 and then

04:13

Place another 10 cards on top but face

04:16

up have a friend Shuffle the whole mess

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