A single card id drawn from each of six well shuffled decks of playing card. Let A be the event that all six cards drawn are different.

(a) find P(A)

(b) Find the probability that at least two of the drawn card match.

Please help.

Thanks

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- February 6th 2009, 09:11 AMjojo_jojo[SOLVED] probability question
A single card id drawn from each of six well shuffled decks of playing card. Let A be the event that all six cards drawn are different.

(a) find P(A)

(b) Find the probability that at least two of the drawn card match.

Please help.

Thanks - February 6th 2009, 09:23 AMPlato
Do we consider as different cards??

- February 6th 2009, 09:57 AMSoroban
Hello, jojo_jojo!

Quote:

A single card is drawn from each of six well-shuffled decks of playing cards.

Let be the event that all six cards drawn are different.

(a) Find

The first card can be any card: .

The second can be any of the other 51 cards: .

The third can be any of the other 50 crds: .

The fourth can be any of the other 49 cards: .

The fifth can be any of the other 48 cards: .

The sixth can be any of the other 47 cards: .

Therefore: .

Quote:

(b) Find the probability that at least two of the drawn card match.

The opposite of "no matches" is "at least one match".

- February 6th 2009, 10:32 AMjojo_jojoThanks a lot!!
Thanks Soroban :).