SOLUTION: I have an issue with this problem for my probablity and statistics class. I hope you can help. You are dealt two cards successively from a deck of 52 playing cards. Find the p

Click here to see ALL problems on Probability-and-statistics

Question 349042: I have an issue with this problem for my probablity and statistics class. I hope you can help.
You are dealt two cards successively from a deck of 52 playing cards. Find the probability that both cards are black in a simplified fraction.
How is the problem figured out - the answer is 25/102
Please help : )
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
I found a way to get that answer. I'm not
positive it's right.
B = black
R = red
The cards drawn can be
BB
BR
RB
RR
The different ways to get BB or RR are

The different ways to get BR or RB are

My fraction should be BB / (BB + BR + RB + RR) =
=
=
=

Answer by MathTherapy(10858) (Show Source):
You can put this solution on YOUR website!
I have an issue with this problem for my probablity and statistics class. I hope you can help.
You are dealt two cards successively from a deck of 52 playing cards. Find the probability that both cards are black in a simplified fraction.
How is the problem figured out - the answer is 25/102
Please help : )

There are 26 black cards in a 52-deck pack

Probability of getting a black card on 1st draw =

Probability of getting a black card on 2nd draw, without replacing 1st card, which could have been black = =

Probability of getting 2 blacks, without replacement = =
OR

P(black & black) = P(B) * P(B) = =