Question

Please help, I want guidance not answers please work through it with me, medal to best guide :)
Jose is paying for an eleven dollar meal using bills in his wallet. He has four one dollar bills, two five dollar bills, and two ten dollar bills. If he selects two bills at random, one at a time from his wallet, what is the probability that he will choose a ten dollar bill and a one dollar bill to pay for the meal? Show your work.

Answer 1

focus on the first part: what is the probability he will choose a 10 dollar bill (ignore the second selection for now)

Answer 2

let me know if you can do this part at all

Answer 3

or tell me if you're completely stuck with everything

Answer 4

I'm so lost...

Answer 5

He has 4 one dollar bills, two five dollar bills and two ten dollar bills..

If he picks two bills...

What are all the possibilities..

\[\frac{ 8! }{ 4!2!2! }\]

There is the 4! because we have a repeat of dollar bills and 2!'s for the two fives and two tens.

Answer 6

ok can you tell me how many bills there are total?

Answer 7

still stuck? or did you figure it out?

Answer 8

Sorry I get side tracked a lot i'm trying to focus hold on

Answer 9

you're ok, take all the time you need

Answer 10

$34 is total and bills in total are 8 right?

Answer 11

yep there are 8 bills in total

Answer 12

of these 8 bills, how many are tens?

Answer 13

2, I'm sorry dyslexia and math don't go together

Answer 14

that's ok, keep at it and you'll get better

Answer 15

so the probability of picking a ten is 2/8 = 1/4

Answer 16

Okay. I get that.

Answer 17

once you pick out a ten, you'll have 8 - 1 = 7 bills left over

Answer 18

Otay..

Answer 19

now how many one dollar bills are there

Answer 20

4

Answer 21

so the probability of picking out a one dollar bill is 4/7 (this is after you picked a ten first)

Answer 22

you then multiply it with 1/5 to get

(1/5)*(4/7) = (1*4)/(5*7) = 4/35

Answer 23

so the probability of picking a ten, then picking a one is 4/35

Answer 24

make sense?

Answer 25

no....whered the 35 come from?

Answer 26

5*7 = 35

Answer 27

oh wait, sorry

Answer 28

mixed up numbers, my bad

Answer 29

it should be

(1/4)*(4/7) = (1*4)/(4*7) = 4/28 = 1/7

Answer 30

so the final answer is 1/7

Answer 31

Omg with my mind doing sifferent stuff it's so hard to concentrate... Idk how i'm gonna pass..

Answer 32

go through this whole thing again and let me know if you have any questions

Answer 33

you saw how I got 1/4 for the first part right?

Answer 34

Ugh x-x no :(

Answer 35

ok just say so and I'll go over it again

Answer 36

there are 8 bills total

there are 2 bills that are tens


so the probability of picking a ten is 2/8 = 1/4


with me so far?

Answer 37

Yes.

Answer 38

ok great

Answer 39

once you pick a bill on the first selection, there are 8 - 1 = 7 bills left over

there are 4 one dollar bills, out of 7 total (leftover), so the probability of selecting a one dollar bill on the next draw is 4/7

still making sense?

Answer 40

Yush

Answer 41

ok good

Answer 42

you then multiply the two fractions: 1/4 and 4/7

Answer 43

(1/4)*(4/7) = (1*4)/(4*7)

(1/4)*(4/7) = 4/28

(1/4)*(4/7) = 1/7


still with me?

Answer 44

yuss

Answer 45

ok so that's the final answer because you just multiply the two probabilities

Answer 46

so the answer is 1/7?

Answer 47

correct

Answer 48

umm okay...

Answer 49

where are you stuck

Answer 50

No where it's fine

Answer 51

alright