From a standard 52 card deck what is the probability of five card hand having at least one face card?
There are 12 faces
and 40 no face cards
x>/= ( i was trying to write greater than or equal to since there is no typing symbol for both)
P (x>/=1) 1-P(o)
P(x>/=1) 1-(12C0)(40C5)/52C5
(1)(658008)/2598960=.253181273
In the calculator you use the function button of nCr
So you calculate 12 (2nd button NCR) O then times 40 (2nd button down NCR) 5
which will give you 658008
divide that number by 52C5 (52 2nd NCR) 5
which will give you 2598960
when you divide the 2 numbers you get
.253181273
you minus this number from 1
1-.253181273
which equals .7468
You have a good setup and great talk-through for calculator users (which I think will be a help to students looking at it). Could you add some explanation for the formulas you use? It be a help if students knew a little about where they came from / why you use those formulas.
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