Translations and probabilities

(1)

Season 01 • Episode 11 • Translations and probabilities

⁰

Translations and probabilities

Season 01

Episode 11 Time frame 1 period

Prerequisites :

^Events^andprobabilities

Objectives :

•

See the importane of language inprobabilities.

•

Pratise some simpleprobability omputations

Materials :

•

Sentenes indierentlanguages.

•

Task sheets.

1 – Events defined in various languages 15 mins

Students work ingroups of 4.

Thedenitionsof7eventsaregiveninEnglish,German,Spanish,Catalan,Danish,Italian

and Romanian. Eah group has to assoiate the sentenes dening the same events in

dierentlanguages.

2 – Simple probabilities 10 mins

Eah group has to gather information around in the lass to be able to ompute the

probabilities of the seven events, and other events dened using these ones.

3 – Intersections and unions Remaining time

The intersetion and union symbolsare introduedby the teaher.

Some events are dened by one sentene inone language. Eah event must be translated

intoEnglish and then into the mathematiallanguage, using the intersetion and union

symbols.

M ∩ B

: The randomlypiked pupil is aboy and has blue eyes

M ∪ F

: Tilfældigtudvalgtelev eren pige eller en dreng

M ∩ S

: Die zufälligausgewählter Shüler ist einJunge und hat kurze Haare

S ∩ D

: Tilfældigt udvalgt elevhar korthår ogbrune øjne

D ∪ S

: Elev-a ales laîntâmplarede par surt sau maroohi

B ∪ D

: Elalumno elegidoal azar tiene losojos azuleso marrones

L ∪ M

: Die zufälligausgewählter Shüler ist einJunge oder hat lange Haare

F ∩ B ∩ L

: L'alumne esollita l'atzarés una nena, téel abellllargi ullsblaus

B ∪ D ∪ G

: Los ojos delalumnoelegido alazar son azules,marrones overdes,

F ∩ G

(2)

Translations and probabilities

Season 01

Episode 11 Document Task sheet

Task 1 – Translations

A pupil is piked randomlyin your half-lass. Seven events related to this random expe-

rimentare dened belowinEnglish. On aseparate paper, the same events are writtenin

German, Spanish, Catalan, Danish, Italianand Romanian.Findthe translations of eah

event isthe 6other languages.

M : The randomlypiked pupil is aboy.

F : The randomly piked pupil isa girl.

B : The randomlypiked pupilhas blues eyes.

D : The randomlypiked pupilhas brown eyes.

G : The randomly piked pupil has green eyes.

L : The randomlypiked pupil has long hair.

S : The randomlypiked pupil has shorthair.

Notation German Spanish Catalan Danish Italian Romanian

M

F

B

D

G

L

S

Task 2 – Simple probabilities

Find informationin the lass to ompute the probabilities below. In the next part, more

ompliated events willbe onsidered, sotry to gatheras muh informationasyou an.

Event M F B D G L S

(3)

Season 01 • Episode 11 • Translations and probabilities

²

Task 3 – Intersections and unions of events

Beloware dened,inotherlanguages,10moreevents,intersetionsorunionsofthe seven

rst events. Translate eah one in English and then in mathematis, using the notations

for the initialevents and the symbols

∩

and

∪

. When it's done, nd out the probability of eah new event.

Denition The randomlypiked pupil is aboy and has blue eyes.

English

Notation Probability

Denition Tilfældigtudvalgtelever en pige eller en dreng.

English

Denition Diezufälligausgewählter Shüler istein Jungeund hat kurze Haare.

English

Denition Tilfældigtudvalgtelevhar kort hår ogbrune øjne.

English

Denition Elev-aales la întâmplarede par surtsau maro ohi.

English

(4)

Season 01 • Episode 11 • Translations and probabilities

³

Denition El alumnoelegido alazar tiene losojos azules o marrones.

English

Denition Die zufälligausgewählter Shüler ist einJunge oder hat lange Haare.

English

Denition L'alumneesollit a l'atzarés una nena, téel abellllargi ullsblaus.

English

Denition Los ojos del alumnoelegidoal azar son azules, marrones o verdes.

English

Denition L'allievo seltoa aso è una ragazzae hagli ohi verdi.

English

(5)

Translations and probabilities

Season 01

Episode 11 Document Translations

German

G1 : Die zufälligausgewählter Shüler hat brauneAugen

G2 : Die zufälligausgewählter Shüler hat kurze Haare

G3 : Die zufälligausgewählter Shüler isteinJunge

G4 : Die zufälligausgewählter Shüler hat BluesAugen

G5 : Die zufälligausgewählter Shüler isteinMädhen

G6 : Die zufälligausgewählter Shüler hat lange Haare

G7 : Die zufälligausgewählter Shüler hat grüne Augen

Spanish

S1 : Elalumno elegidoal azar tiene ojos marrones

S2 : Elalumno elegidoal azar tiene elpelolargo

S3 : Elalumno elegidoal azar esuna niña

S4 : Elalumno elegidoal azar tiene losojos azules

S5 : Elalumno elegidoal azar tiene elpeloorto

S6 : Elalumno elegidoal azar esun niño

S7 : Elalumno elegidoal azar tiene losojos verdes

Catalan

C1 : L'alumneesollit a l'atzarté ullsmarrons

C2 : L'alumneesollit a l'atzarés un nen

C3 : L'alumneesollit a l'atzarté elsabellsllargs

C4 : L'alumneesollit a l'atzarté elsullsblaus

C5 : L'alumneesollit a l'atzarté elsullsverds

C6 : L'alumneesollit a l'atzarté elsabellsurts

(6)

Season 01 • Episode 11 • Translations and probabilities

⁵

Danish

D1 : Tilfældigtudvalgtelev har grønne øjne

D2 : Tilfældigtudvalgtelev eren pige

D3 : Tilfældigtudvalgtelev har brune øjne

D4 : Tilfældigt udvalgtelevhar blå øjne

D5 : Tilfældigtudvalgtelev har korthår

D6 : Tilfældigtudvalgtelev eren dreng

D7 : Tilfældigtudvalgtelev har langt hår

Italian

I1 : L'allievoselto a aso è una ragazza

I2 : L'allievoselto a aso, hagli ohi azzurri

I3 : L'allievoselto a aso è un ragazzo

I4 : L'allievoselto a aso, hagli ohi marroni

I5 : L'allievoselto a aso hai apellilunghi

I6 : L'allievoselto a aso, hagli ohi verdi

I7 : L'allievoselto a aso hai apelliorti

Romanian

R1 : Elev-a ales la întâmplareparullung

R2 : Elev la întâmplareales are ohii de blues

R3 : Elev la întâmplareales este un baiat

R4 : Elev la întâmplareales are ohii maro

R5 : Elev la întâmplareales este ofata

R6 : Elev la întâmplareulese are ohiiverzi

R7 : Elev-a ales la întâmplarede parsurt

(7)

Translations and probabilities

Season 01

Episode 11 Document Correction

Task 1 – Translations

Notation German Spanish Catalan Danish Italian Romanian

M G3 S6 C2 D6 I3 R3

F G5 S3 C7 D2 I1 R5

B G4 S4 C4 D4 I2 R2

D G1 S1 C1 D3 I4 R4

G G7 S7 C5 D1 I6 R6

L G6 S2 C3 D7 I5 R1

S G2 S5 C6 D5 I7 R7

Task 2 – Simple probabilities

Event M F B D G L S

Probability

(8)

Season 01 • Episode 11 • Translations and probabilities

⁷

Task 3 – Intersections and unions of events

Denition The randomly piked pupil isa boy and has blue eyes.

English The randomly piked pupil isa boy and has blue eyes.

Notation

M ∩ B

Probability

Denition Tilfældigtudvalgtelev eren pige eller en dreng.

English The randomly piked pupil isa boy or a girl.

Notation

M ∪ F

Probability

Denition Die zufälligausgewählter Shüler ist einJunge und hat kurze Haare.

English The randomly piked pupil isa boy and has short hair.

Notation

M ∩ S

Probability

Denition Tilfældigtudvalgtelev har kort hår ogbrune øjne.

English The randomly piked pupil has short hair and brown eyes.

Notation

S ∩ D

Probability

Denition Elev-aales laîntâmplarede par surt sau maro ohi.

English The randomly piked pupil has short hair and brown eyes.

Notation

D ∩ S

Probability

Denition El alumnoelegido alazar tiene losojos azules o marrones.

English The randomly piked pupil has blue eyes or brown eyes.

Notation

B ∪ D

Probability

Denition Die zufälligausgewählter Shüler ist einJunge oder hat lange Haare.

English The randomly piked pupil isa boy or has long hair.

Notation

L ∪ M

Probability

Denition L'alumneesollit a l'atzarés una nena, téel abellllargi ullsblaus.

English The randomly piked pupil isa girlwith long hair and blues eyes.

Notation

F ∩ B ∩ L

Probability

Denition Los ojos del alumnoelegidoal azar son azules, marrones o verdes.

English The randomly piked pupil isa boy or has brown orgreen eyes.

Notation

B ∪ D ∪ G

Probability

Denition L'allievo seltoa aso è una ragazzae hagli ohi verdi.

English The randomly piked pupil isa girland has greeneyes.

Notation

F ∩ G

Probability