Question

Back to the cards! In poker, a flush is when all five cards are the same suit. Find the probability of being dealt a flush (when being dealt five cards).

Start by just considering clubs.
The probability of being dealt all five clubs is the product of the above probabilities. Why is this true and what is this probability?

g) You have now found the probability of being dealt a flush in clubs. This is the same as the probability of being dealt a flush in diamonds, hearts, or spades. Then, what is the proability of being dealt a flush?

Answer 1

wow really stepped up the game for this one, didn't they?

Answer 2

yup(:

Answer 3

there are 13 clubs, and you want to be dealt five of them
the number of ways to choose 5 out of 13 is \(_{13}C_5\) and the number of ways to choose 5 out of 52 is \(_{52}C_5\)

Answer 4

so one way to calculate this is
\[\frac{_{13}C_5}{_{52}C_5}\]

Answer 5

use a calculator

Answer 6

i am not sure what this
"The probability of being dealt all five clubs is the product of the above probabilities" means exactly, since i am not reading your book

Answer 7

here is the whole question, I figured out all of them except the last two.


Back to the cards! In poker, a flush is when all five cards are the same suit. Find the probability of being dealt a flush (when being dealt five cards).

Start by just considering clubs.

a) What is the probability that the first card dealt is a club?

b) What is the probability that the second card dealt is a club given that the first one was a club?

c) What is the probability that the third card dealt is a club given that the first two were clubs?

d) What is the probability that the fourth card dealt is a club given that the first three were clubs?

e) What is the probability that the fifth card dealt is a club given that the first four were clubs?

f) The probability of being dealt all five clubs is the product of the above probabilities. Why is this true and what is this probability?

g) You have now found the probability of being dealt a flush in clubs. This is the same as the probability of being dealt a flush in diamonds, hearts, or spades. Then, what is the proability of being dealt a flush?

Answer 8

here is the answer for the first one
http://www.wolframalpha.com/input/?i=%2813+choose+5%29%2F%2852+choose+5%29

Answer 9

oh ok

Answer 10

you can do it this way too
do you have to answer each of these in turn?

Answer 11

in turn?

Answer 12

I've answer al of them except f and g

Answer 13

oh ok

Answer 14

so the product is what you get when you multiply them all together
if you did it correctly, the product should be \(\frac{33}{66640}\)

Answer 15

for the last one g, multiply that answer by 4 since there are four suits

Answer 16

.0000495?

Answer 17

if you like decimals, yes

Answer 18

that is right for f
for g, multiply by 4

Answer 19

okay and then I got .002

Answer 20

roughly

Answer 21

roughly

Answer 22

okay. thanks so much

Answer 23

on to functions!

Answer 24

45 minutes for functions

Answer 25

I know, and there is 10 assignment including a test ot two. danggg it