SOLUTION: you have been dealt 2 cards from a deck of 52 shuffled cards. there are four suits or 13 cards each. two suits are black and two are red. what is the probability the two cards you

Algebra ->  Probability-and-statistics -> SOLUTION: you have been dealt 2 cards from a deck of 52 shuffled cards. there are four suits or 13 cards each. two suits are black and two are red. what is the probability the two cards you       Log On


   



Question 342730: you have been dealt 2 cards from a deck of 52 shuffled cards. there are four suits or 13 cards each. two suits are black and two are red. what is the probability the two cards you are dealt will both be black?
Please help me STAT! My friend asked me for help on this problem and it's been YEARS since I've done statistics! Thanks.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
you have been dealt 2 cards from a deck of 52 shuffled cards.
there are four suits or 13 cards each.
two suits are black and two are red.
what is the probability the two cards you are dealt will both be black?
----
# of pairs of black cards: 26C2 = (26*25)/(1*2) = 325
----
# of random pairs of cards: 52C2 = (52*51)/(1*2) = 1326
---
Prob(2 black cards) = 325/1326 = 0.2451
=========================================
Cheers,
Stan H.