Another Probability question

Question

HI, is there a simple way to solve the question below:

What is the probability of getting at least one heart in a 5-card hand dealt from a standard 52-card deck?

My approach was to calculate it as:

At least 1 heart = 1 - No Hearts, which implies

At least 1 heart = 1 -39/52 x 36/51 x 35/50 x 34/49 x 33/48

any simpler approach?

Thanks

anshumishra · Answer

I guess that is the simplest approach for the question asking for "at least" xxxx

Probably you made a typo while posting your solution :

At least 1 heart = 1 -39/52 x  38 /51 x  37 /50 x  36 /49 x  35 /48

Thanks

krishan · Answer

yeh, I moved to 36 from 39

anyway thanks.

soumanag · Answer

Hi krishan,

We can use this approach:

At least 1 heart = 1 -P (No Hearts) = 1- (39C5/52C5)

Will give same result.

zisis · Answer

there isn't a simpler one!!

'at least 1' questions are best solve with the 1-no approach

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