At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors: white, red, green, and blue. There are 6 boxes of each color. All the boxes are equally likely to be given away as prizes. Which expression shows the probability of the first winner receiving a white box and the second winner also receiving a box of the same color?
6 over 24 multiplied by 6 over 23
6 over 24 multiplied by 5 over 23
6 over 24 plus 5 over 23
6 over 24 plus 6 over 23

- anonymous

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- anonymous

@Vocaloid

- anonymous

@Mehek14

- anonymous

hey @welshfella please help!

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## More answers

- welshfella

probability of getting a white box for first winner = 6/24
for the second player there are now 5 white boxes and total of 23 boxes
so what is probability of second player getting a white bos?

- anonymous

how do i get the answer.. what do i have to solve?

- welshfella

the important thing to remember for second draw is there are 5 white and total 23 - so what is Probabilty of picking a white box from this 23 boxes?

- anonymous

hwo do i do that? im confused

- welshfella

well for 6 and 24 the answer was 6/24
so for 5 and 23 it will be ?

- welshfella

cant you see the pattern here?

- welshfella

probability = number of white boxes / total number of boxes

- welshfella

number of white boxes = 5 , total number of boxes = 23

- welshfella

I cant put it plainer than that

- welshfella

just plug those numbers into the formula for the probability

- anonymous

0.217

- welshfella

yes but they want it as a fraction 5/23

- welshfella

now as the 2 events are independent you multiply the 2 probabilities
require probability = 6/24 * 5/23

- anonymous

i got 5/92

- anonymous

@Vocaloid

- anonymous

@jcoury

- anonymous

@jim_thompson5910

- anonymous

@jcoury

- anonymous

k gimme a sec

- anonymous

while im finishing my own work try googling the question

- anonymous

u there

- anonymous

yes but i dont know what the answer is still

- anonymous

try googling

- anonymous

i did and i got nothing

- anonymous

you are talking about the candy question right?

- anonymous

yes

- anonymous

its number 2
6/24 times 5/23
the reason this is the answer is because on the first pick there are 4 colors and each color has 6 boxes each
6*4=24
however after the first white box is taken there are only 23 boxes left in total leaving only 5 white boxes left since one white box was removed from the booth.so the new chance of picking a white box would be 5/23.the chance of picking two white boxes in a row would be calculated by multiplying the chance of picking the white box the first time and the new chance of picking the white box the second time.so the chance of picking two white boxes in a row would be 30/552 without simplifying.from there I think you can do the rest.

- anonymous

i got 30/552

- anonymous

lol jk

- anonymous

oh i was gonna say... no i didnt lol

- anonymous

i gtg

- anonymous

so b?

- anonymous

yup bye

- anonymous

ok i have more questions.. please help :)

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