Question

Asa, Bill, Cathy, Dino, and Eve are randomly seated in a row of 5 seats. Find the probability that Asa will sit next to Bill.

Answer 1

View asa and bill as one person. Then, find the number of ways the four "people" can fill the seats. Then view bill and asa as one person, and do it again. Sum the two. Thats the total number of ways bill and asa can sit next to each other.

Now, find the total number of ways the five students can sit in the row. The probability they sit next to each other is the the number of ways they can sit next to each other divided by the number of ways they can sit overall.

Answer 2

Note that order is important!

Answer 3

can u show the work?? lol

Answer 4

Can you?

Answer 5

9 / 5!

Answer 6

8 / 5!

Answer 7

what?
It's supposed to be a fraction

Answer 8

you have ABCDE , there are 5! ways of sitting them. that will be your denominator

Answer 9

the favorable is AB sitting together, you can have oh...

Answer 10

you can have AB, BA , and there are 4 places , so 4* 2

Answer 11

thats your numerator

Answer 12

what's the numerator?

Answer 13

8

Answer 14

so you have 8/120

Answer 15

that's not a choice though
(1) 1/60 (2) 2/5 (3) 1/10 (4) 4/15

Answer 16

oh

Answer 17

ok there are 2x4x3! in the numerator

Answer 18

so 2/5

Answer 19

wait 24/120 is 1/5
not 2/5

Answer 20

no thats 48/120

Answer 21

oh, I got u

Answer 22

2x4x3! = 2x4x(3x2x1)

Answer 23

give me medal NOW

Answer 24

I got 2/5.

Answer 25

me too

Answer 26

there are 2 ways for AB to sit next to each other, they can move around in 4 different places, then there are 3! for the rest of the other people to sit

Answer 27

wait so basically
it's 5!/ 2!4! ???

Answer 28

shut up omg. Look at the method i proposed. 2(4!)/(5!)

Answer 29

well you treat AB as K, so you have K C D E , and how many ways can you reararnge that

Answer 30

then K has 2! ways

Answer 31

shut up, omg, GROW UP

Answer 32

u 2 r arguing?

Answer 33

so you have K C D E , where K is AB, and you have 4! ways of rearranging that, but K is actually AB or BA, so 4! * 2!

Answer 34

azn, can you give me medal, i got answer first

Answer 35

can u guys explain what u did?

Answer 36

i did

Answer 37

explain then
right now

Answer 38

treat AB as K, since they always sit next to each other, so you have K C D E , correct ?

Answer 39

yea

Answer 40

so how many ways to rearrange K C D E ?

Answer 41

24

Answer 42

right, but for each one of those arrangements, you have AB or BA

Answer 43

since they can swap

Answer 44

so you need 24 x 2

Answer 45

in other words, K can be AB or K can be BA

Answer 46

so you have 24 with AB , and 24 with BA, so 24 + 24

Answer 47

ok and how did u get the 5! part

Answer 48

thats the number of ways to rearrange A B C D E

Answer 49

5 !

Answer 50

wheres my medal

Answer 51

PLEASSSSSSSSEEEEEEEEEEEEEEEEEEEEEEEEE

Answer 52

oh I got it

Answer 53

how do I give u a medal? It's my first time here, how?

Answer 54

next to my name

Answer 55

it should say give medal

Answer 56

it doesn't