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Exam question 2 · "I'm due a win": the gambler's fallacy

Ascertain the probability of obtaining a six upon a single roll of a fair die, irrespective of prior rolls.

Mova's choice: option 1 · The right answer: option 4 · wrong ✗ · Who acts: you, probability · What happens: ascertain, obtain, roll · To what, where: probability, six, fair die

This is exam question 2 of lesson 171 «"I'm due a win": the gambler's fallacy» of the world course of Mova's primary school, asked in stiff, formal language. The page gives the question's syntax tree — a dependency tree in the style of Universal Dependencies — and its pragmatics clause by clause, then the 4 options as the student saw them, each with its tree and pragmatics. Every text is parsed by Mova itself. How the student answered it, with the score of every option and why: the test at school.

The question

detobjmarkacldetobjcasedetamodoblcasedetamodnmodpunctadvmodcaseamodoblpunctrootAscertainVERBtheDETprobabilityNOUNofSCONJobtainingVERBaDETsixNUMuponADPaDETsingleADJrollNOUNofADPaDETfairADJdieNOUN,PUNCTirrespectiveADVofADPpriorADJrollsNOUN.PUNCT
The words, one row each (CoNLL-U)
#wordlemmaUPOSfeaturesheadrelation
1AscertainascertainVERBMood=Imp VerbForm=Finrootroot
2thetheDETDefinite=Def PronType=Art3 probabilitydet
3probabilityprobabilityNOUNNumber=Sing1 Ascertainobj
4ofofSCONJ_5 obtainingmark
5obtainingobtainVERBVerbForm=Ger3 probabilityacl
6aaDETDefinite=Ind PronType=Art7 sixdet
7sixsixNUMNumForm=Word NumType=Card5 obtainingobj
8uponuponADP_11 rollcase
9aaDETDefinite=Ind PronType=Art11 rolldet
10singlesingleADJDegree=Pos11 rollamod
11rollrollNOUNNumber=Sing5 obtainingobl
12ofofADP_15 diecase
13aaDETDefinite=Ind PronType=Art15 diedet
14fairfairADJDegree=Pos15 dieamod
15diedieNOUNNumber=Sing11 rollnmod
16,,PUNCT_20 rollspunct
17irrespectiveirrespectiveADV_20 rollsadvmod
18ofofADP_20 rollscase
19priorpriorADJDegree=Pos20 rollsamod
20rollsrollNOUNNumber=Plur5 obtainingobl
21..PUNCT_1 Ascertainpunct
#verbtense, moodwhowhat, whomto whomwherewhenotherroles by
1ascertainimperativeyou not said herethe probabilityvn discover-84 «NP V NP»: agent=Agent probability=Topic
2obtaingerundthe probability not said herea sixupon a single roll of a fair die; of prior rollsvn obtain-13.5.2-1 «NP.asset V NP»: agent=Asset six=Theme
3rolla fair dienom roll «event transitive»: of=patient

One row per clause the reader finds. «not said here»: a role filled from the clause above. «roles by»: a VerbNet class and frame when one fits the verb, else the reader's rules on the tree.

The options

Option 1 · ← Mova's choice

One in two

casenmodrootOneNUMinADPtwoNUM
The words, one row each (CoNLL-U)
#wordlemmaUPOSfeaturesheadrelation
1OneoneNUMNumForm=Word NumType=Cardrootroot
2ininADP_3 twocase
3twotwoNUMNumForm=Word NumType=Card1 Onenmod

The frames reader finds no event or fact in this sentence.

Option 2

Six in six

casenmodrootSixNUMinADPsixNUM
The words, one row each (CoNLL-U)
#wordlemmaUPOSfeaturesheadrelation
1SixsixNUMNumForm=Word NumType=Cardrootroot
2ininADP_3 sixcase
3sixsixNUMNumForm=Word NumType=Card1 Sixnmod

The frames reader finds no event or fact in this sentence.

Option 3

One in thirty-six

casenmodpunctconjrootOneNUMinADPthirtyNUM-PUNCTsixNUM
The words, one row each (CoNLL-U)
#wordlemmaUPOSfeaturesheadrelation
1OneoneNUMNumForm=Word NumType=Cardrootroot
2ininADP_3 thirtycase
3thirtythirtyNUMNumForm=Word NumType=Card1 Onenmod
4--PUNCT_5 sixpunct
5sixsixNUMNumForm=Word NumType=Card3 thirtyconj

The frames reader finds no event or fact in this sentence.

Option 4 · ✓ the right answer

One in six

casenmodrootOneNUMinADPsixNUM
The words, one row each (CoNLL-U)
#wordlemmaUPOSfeaturesheadrelation
1OneoneNUMNumForm=Word NumType=Cardrootroot
2ininADP_3 sixcase
3sixsixNUMNumForm=Word NumType=Card1 Onenmod

The frames reader finds no event or fact in this sentence.

Text: the tests of Mova's primary school, written for Mova (world/data/school/), as the course runner gave them to the student. Trees: Mova's own parse — the en model on the CPU, when the site is built — not checked by a teacher; they may be wrong. Frames: Mova's frames reader (prag), each text read on its own. Elamur Cosmic License.

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