Question

Medal
4 fraternal twins! There are four babies in the womb, the technician is unable to tell the gender of the babies.
(a) Find the probability that the quadruplets will all be girls. Express your answer as a fraction or an exact decimal - do not round.


(b) What is the probability that the couple will have 3 boys and 1 girl?


(c) What is the probability that the youngest child will be male?

Answer 1

1 = boy
0 = girl

possibilities are

0000
0001
0010
0011
0100
0101
0110
0111
1000
1001
1010
1011
1100
1101
1110
1111

Answer 2

yes

Answer 3

32 possibilities it will be a girl

Answer 4

there are 16 total possibilities

Answer 5

you can also find that number because there are 4 babies with 2 total genders

and 4^2 = 16

Answer 6

ok 16/32 right

Answer 7

where are you getting 32?

16*2?
2^5?

Answer 8

yes 16*2 = 32

Answer 9

it says express as a fraction so this is y i got 32

Answer 10

don't multiply by 2

because there are 16 possibilities your denominator will be 16

you need to find the numeratior

\[\frac{?}{16}\]

Answer 11

4/16

Answer 12

4/16 what? which question are you answering with that?

Answer 13

a)

Answer 14

no sorry 2/16 because it could be a male or female

Answer 15

look at the possibilities list, how many of those options contain all girls?

Answer 16

15

Answer 17

not quite, if the quadruplets were to be all girls then of the 4 digits, every one would be a 0

Answer 18

ohh i c

Answer 19

okay so what's your answer for A?

Answer 20

1/16

Answer 21

correct

Answer 22

now for B, 3 boys and 1 girl, you need three 1's and one 0

Answer 23

3/16

Answer 24

close, you missed one

Answer 25

4/16

Answer 26

correct. And now for number C we're going to have to do use some inference. This question is not worded well but i think it's asking for how many possibilities will the last child out be a boy?

Answer 27

ya youngest child to be a boy from the fraternal twins

Answer 28

you can do this one without counting the possibilities, what is the probability that a child will be a boy?

Answer 29

1/16

Answer 30

\[\frac{Gender}{Number Of Genders}\]

Answer 31

1/2

Answer 32

correct, so 50% of your possibilities will end with a boy

so what fraction will give you 50% if your denominator is 16?

Answer 33

8/16

Answer 34

that's your answer, though your teacher will probably appreciate it more if you simplify it

Answer 35

do all the fractions have to be simplfied?

Answer 36

generally yes

Answer 37

so its a) 1/16 b) 1/4 c) 1/8 i simlified all of them

Answer 38

A and B are correct

Answer 39

for C your unsimplified number is 8/16

Answer 40

1/2

Answer 41

correct, you got them all

Answer 42

thank you :)