# Math Help - probability

1. ## probability

A standard deck of 52 playing cards consists of four different suits
and 13 cards of different ranks in each suit. Four cards will be drawn at
random without replacement from this deck. The probability that the
four cards will be all the same suit is k times the probability that they
will be all the same rank. What is the value of k?

2. Originally Posted by sri340
A standard deck of 52 playing cards consists of four different suits
and 13 cards of different ranks in each suit. Four cards will be drawn at
random without replacement from this deck. The probability that the
four cards will be all the same suit is k times the probability that they
will be all the same rank. What is the value of k?
p(cards same rank)= $\frac{52}{52}\cdot\frac{3}{51}\cdot\frac{2}{50}\cd ot \frac{1}{49}$

p(cards same suit) = $\frac{52}{52}\cdot \frac{12}{51}\cdot \frac{11}{50}\cdot\frac{10}{49}$

can you give it a shot now?