Question

What is the probability that the top four cards of a shuffled deck are two pairs? What if we want one black pair and one red pair?

Answer 1

1) probability that the top four cards of a shuffled deck are two pairs =P(selecting two denomination from 13 and then select 2 cards from 4 of each denomination)= =78*6*6/270725=0.010372

2)

P( one black pair and one red pair )=P(selecting one denomination from 13 and then select 2 cards from 2 of both red color and then selecting one denomination from 13 and then select 2 cards from 2 of both black color )

= =13*1*13*1/270725 =0.000624