Question

a bunch of flowers contains 3 carnation, 3 roses and 5 sunflowers. two flowers are picked from the bunch without replacement. Find the probability for selecting:
2 roses

Answer 1

@amistre64 please help me i need help badly

Answer 2

how many flowers are there entotal?

Answer 3

11

Answer 4

and how many roses?

Answer 5

3

Answer 6

then our best estimate for picking one rose is 3 out of 11

3/11

since we dont replace stuff; that leaves 2 roses out of 10 flowers left

Answer 7

3/11 second is 3/10 because we dont replace i cant get the final number by my self

Answer 8

i mean 2/10

Answer 9

the setup for P(rose1 and rose2) is: P(rose1) * P(rose 2)

3/11 * 1/5

Answer 10

i dont know how to multiply fractions in the calculator
3*5 is 15 and 11*1 is 11 so 11/15?

Answer 11

you just multiply across the tops, then across the bottom; then divide the tops by the bottoms

3*1 = tops
11*5 = bottoms

tops/bottoms

Answer 12

3/55

Answer 13

if it wants an exact result, its prolly best to keep it in fraction form; if it says to apprximate by so many decimals; then this way is suitable

Answer 14

yes, so in the calculator; do 3/55

Answer 15

oh its fractions form will you help me get through like three more you can just tell me what to do and ill do it

Answer 16

ive got a paying job to give some attention to today, but ill be hovering about

Answer 17

the next one is same question different scenario the scenario is 1 carnation and 1 sunflower

Answer 18

#carnation #sunflowers
--------- * ----------
# flowers #flowers

Answer 19

well terenz can help

Answer 20

since without replacement, be sure to haave #flowers decrease as needed

Answer 21

what

Answer 22

3/11 and 5/10 or 1/2

Answer 23

good

Answer 24

thanks for your help @amistre64

Answer 25

good luck :)

Answer 26

thanks

Answer 27

okay so 1/2 and 3/11 multiply across top right @terenzreignz

Answer 28

multiply the numerators and denominators... safest way to multiply fractions, but not always efficient.

Answer 29

3/22

Answer 30

I realised I haven't even read the question yet... derp :D

Answer 31

lol

Answer 32

So, question is, if you pick two flowers, what are the chances that you get one carnation and one sunflower?

Answer 33

yes without replacement

Answer 34

Well, actually, if you just consider 3/11 times 5/10
you're very specific that you pick the carnation first, and then the sunflower

But what about picking a sunflower first, and the carnation afterwards? What are the chances of that?

Answer 35

5/11 and 3/10 but it has carnation first lol

Answer 36

oh, carnation first, specifically? Then forget what I said :)

Answer 37

it says 1 carnation and 1 sunflower i assumed it wanted them in that order i may be wrong in assuming but

Answer 38

but... please be sure, because if order doesn't matter, we should get an entirely different answer

Answer 39

i dont know i guess it doesnt let me ask my teacher

Answer 40

Please do :)

Answer 41

he said order doesnt matter

Answer 42

Ahah... then you should also consider the possibility that you pick a sunflower first, and the carnation afterward... could you figure that? :)

Answer 43

so carnation first then sunflower is 3/11 and 5/10 then the sunflower first then the carnation is 5/11 and 3/10

Answer 44

yup... so carnation first gives you 3/22, right?
What about sunflower first?

Answer 45

yeah sunflower first gives you : 15/110 i think and i need to simplify i think

Answer 46

They're both divisible by 5, so, it gives you 3/ 22 as well... this is very interesting :D

Answer 47

just so you know, multiplication is commutative

Answer 48

yes which means the answer is 3/22 right?

Answer 49

\[\frac{3}{11}\frac{5}{10}=\frac{5}{11}\frac{3}{10}\]

Answer 50

whats that @amistre64

Answer 51

crud i missed that detail... I've been away from here for far too long :D

Answer 52

commutative means that numbers can switch places ... for example:

3 * 7 is equal to 21

swapping places doesnt change the value of the operation

7 * 3 = 21

Answer 53

yes so both sides are = to 3/22

Answer 54

yes

Answer 55

so the answer is just 3/22

Answer 56

lol no wonder... I can't believe I even marvelled at that :D

so anyway, the chances of drawing a sunflower and a carnation, without respect to order, would be the sum of the chances of drawing a sunflower first, and then a carnation, and the chances of drawing a carnation first, and then a sunflower,
both of which are 3/22

Answer 57

lol marveled such a big descriptive word why do i feel like i am at a debate competition all of a sudden

Answer 58

No, I completely submit :D
Anyway, chances of drawing a sunflower first and then a carnation is 3/22
chances of drawing a carnation first and then a sunflower is (also) 3/22

Add those up, what do you get?

Answer 59

6/44 which simplifies to 3/22

Answer 60

oh...uhh
No

Big no.

In adding fractions with the same denominator you add ONLY the numerators and NOT the denominators.

Let me demonstrate... two halves make a whole, right? But if you also add denominators, then...

1/2 + 1/2 = 2/4
which simplifies into 1/2

implying 1/2 + 1/2 = 1/2
two halves make a half? No way :D

So yeah, I hope I've made my point XD

Answer 61

okay so its 6/22

Answer 62

Yup... which simplifies into...?

Answer 63

crud lol ughm 3/11

Answer 64

That's the one :D

Answer 65

okay let me make it a new question but i have a nother

Answer 66

ill tag you

Answer 67

Will do :)