A card is chosen from a deck of cards, recorded, and then replaced. this is done 75 times and red card from 5 to 9 is chosen 21 times. a) what is the theoretical probability of a red card between 5 and 9 being chosen? b) how many times would you expect this event to happen in 75 trials? c) compare your answers to part a) and b)

- anonymous

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- schrodinger

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- sandra

so this is similar to the last one. you want to know how many possibilities there are that a given event happens (in this case red 5-9), and how many possibilities there are total.
The first things you need to determine are:
1. how many red cards are there between 5 and 9?
2. how many total cards are in the deck?

- anonymous

well how many red cards are there in a deck .. is it 26
>?

- anonymous

right, so there are 5,6,7,8,9 of diamonds and hearts

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- anonymous

so 10 total that are red AND 5-9

- anonymous

there are 52 cards in the deck total

- anonymous

so the probability of a red card that is 5-9 = 10 (the number of red 5-9)/52 (total number of cards)

- bahrom7893

yay I get it!

- anonymous

how did you get 10?

- anonymous

well, in a deck of cards, the red cards are diamonds and hearts

- anonymous

so there are two sets of 5-9 that are red - hearts and diamonds

- anonymous

iok

- anonymous

so in total, there are 5,6,7,8,9 of hearts, and 5,6,7,8,9 of diamonds, so 10 total

- anonymous

true

- anonymous

so the probability = (possible red 5-9) divided by ( total possible cards)

- bahrom7893

man i hate card problems.. how the heck would i know how many cards are there...I mean gambling is illegal in schols..

- bahrom7893

*schools

- anonymous

lol

- anonymous

true - so (a) = 10/52

- anonymous

so how do you think you get b?

- anonymous

how do i rememeber all those red cards and everything?? coz itss hard :"S

- anonymous

well, the good news is that a deck of cards is used across a LOT of probability questions

- anonymous

is it lik 10/52 * 75 ?

- anonymous

so you just gotta know - there are 52 cards, 4 suits, 2 suits of each color, 13 cards in each suit

- anonymous

and yes, you are correct

- bahrom7893

YAY!

- anonymous

so good work =)

- anonymous

whoz rigjht me???

- bahrom7893

yup!

- anonymous

boom!

- anonymous

thats amazing :O

- anonymous

it happens :p and it will happen more the more you practice

- bahrom7893

and i still dont get it.. maybe im not tryin hard enough =/

- bahrom7893

embarassin really, bein good in calc and when someone asks me a stat question i gtg.. sorry i dunno..

- anonymous

haha, well if you asked me a calc question I'd give you a blank stare :p

- anonymous

i got aniother questin too

- anonymous

k, I'd say ask a different one on the left side

- anonymous

and I'm sure many of us will make the jump

- anonymous

ok make sure that uhelp me
lol

- anonymous

ur supposed to be asking another question

- bahrom7893

shes tryin to do it on her own

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