Girls Tend To Be Left-Handed Right?

Probability Level 1

Katie is teaching a class of thirty pupils, of which fourteen are girls. She knows that there are twenty-two pupils who are right-handed.

What is the minimum number of girls who are right-handed in this class?


The answer is 6.

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Aronas Nuresi by Aronas Nuresi , 46, India

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12 solutions

Aronas Nuresi
May 3, 2014

Number of girls in the class is 14.

Number of left-handed pupils + Number of right-handed pupils = 30. So,
Number of left-handed pupils + 22 = 30,
Number of left-handed pupils = 8.

Therefore, the minimum number of right-handed girls is 14 − 8 = 6 14 - 8 = \boxed6 .

70 Helpful 5 Interesting 2 Brilliant 1 Confused

22-16(boys) = 6 (mim girls)

Kevin Patel - 7 years, 1 month ago

I got it!!!!!!

Oli Varnier - 7 years ago

Your Ans Is according to Probability. But Simply If We Solve Like....Totall=30➡14 girls➡22 Right.handed So...16 boys out of 30 then Remove this Boys From Right hand Crew And Rest Of Them..Are Girls=6😂

RJ Rahul - 3 years, 11 months ago

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Probability? Where does this answer even mention that?

Kevin Shi - 2 years, 2 months ago

I go it!!!

renzo gantala - 3 years, 7 months ago

So, basically you are saying 30-14=16, 22-16=6, right? if so, THAT'S HOW I DID IT!!!

mash religion - 3 years, 6 months ago

I did it this way. There are 8 left-handed students, so the min number of right-handed girls is 14-8=6.

Kevin Shi - 2 years, 2 months ago
Vivek Baghela
May 8, 2014

Total no. of pupils = 30 No. of girls = 14 No' of right handed pupils = 22 So, no. of left handed pupils = 30 - 22 = 8 Suppose if all the 8 left handed pupils are girls then , no. of right handed girls will be = 14 - 8 = 6

8 Helpful 0 Interesting 0 Brilliant 0 Confused
Aman Srivastava
May 7, 2014

22(total no of right handed pupils)-16(boys)=6(no of girls)

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Shijin Appu
May 11, 2014

total = 30. no.of girls = 14, no.of boys = 16, total no.of right handed = 22. therefore minimum no.of right handed girls = no.of right handed - no.of boys.that is = 6

1 Helpful 0 Interesting 0 Brilliant 0 Confused

No. of girls=14 No. of boys=16 Maximum no. of right handed pupils who are boys=16 Therefore, required answer=(22-16)=6

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Suppose that all boy are right-handed, thus the minimum number of girls who are right-handed are 22 - 16 = 6

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Tisya Rawat
Jan 13, 2021

Number of girls in the class= 14

Number of boys in the class= 16

Number of right-handed students= 22

Number of left-handed students= 8

for minimum number of right-handed girls, maximum number of boys need to be right handed.

Since the number of boys is 16 and number of right-handed students are 22 the maximum number of right handed boys are 16 itself since maximum all boys can be right handed out of the 22 right-handed students.

so there are 22-16= 6 right-handed girls at minimum.

Therefore the minimum number of right handed girls are 6

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Elijah Frank
Nov 28, 2020

Easy: 14 Girls and 16 boys so the intersection of these groups are 14-8+16-8+6=20 so there are 14-8 = 6 and the 8 is 16-8 and then group it and gave us 20 so B(14) and G(6).

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Bostang Palaguna
Aug 16, 2020

there are 14 girls, 16 boys, 22 right-handed, and 8 left-handed.

to get the least number of right-handed girls, we let all those boys to be right-handed, leaving us with right handed girl = 22-16 = 6

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Mirko Dobrota
Sep 16, 2019

RHgirls = 30(all pupils) - 8 (all LH pupils) - RHboys. RHgirls is on minimun when RHboys are on maximum (all of them = 16). So RHgirsl (min) = 30-8-16 = 6

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Gaurav Manwani
Aug 18, 2017

Should we really ignore the multigender and the ambidextrous?

Period.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

There could be multigender and ambidextrous people in the class, but that wouldn't change the result. If anything, you assumed their absence, but it wasn't stated.

students: 30

girls :14 (this includes any multigender people who have girl as one of their gender)

right handed : 22 (this includes any ambidextrous people: we're interpreting the term as 'can write comfortably with the right hand')

non girls: 26 (this includes boys, agendered, and multigenders whose genders do not include girl)

non right handed: 8 (lefties and people that can't write)

minimum number of right handed girls = 14+22-30=6, because how many girls, right handed people and students there are is sufficient to determine the least number of right handed girls.

if you interpret any term differntly (like 'right-handed' as 'writes comfortably with the right hand'), the number of 'right handed girls' doesn't change. Only what you mean by 'right handed' and 'girl', and therefore by 'right handed girl', changes.

Still, you have a point for all the solutions that label 'non girls' as 'boys' and all 'non right handed people' as 'left handed people' (they are adding two assumptions, which may or may not hold for the class: non girl=boy, non right handed= left handed, assumptions which are probably true in their direct experience as far as they know, but can't be assumed in abstract).

The question is fine though, since the answer doesn't change depending on your assumptions.

Samuele Zardo - 2 years, 9 months ago
George Karabassis
Nov 15, 2015

We know that the number of the pupils in the class is 30 we know that the number of right-handed pupils are 22 so left-handed pupils in the class are 30-22=8. Then we know that the number of the girls in the class are 14. So we have 14-8=6. So the correct answer is 6.

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