5 cards are dealt from a well shuffled standard deck of cards. What is the probability of getting 2 kings and 2 jacks?
I started by evaluating each choice in turn. Probability that the first card is a king= 4/52. That the second card is a king=3/51, that the third card is a jack=4/50, that the fourth card is a jack=3/49 and that the last card is neither a jack nor a king =44/48.
I multiply these all together to get 6336/311875200. I know I am missing the factor to address the possible arrangements, but I am not sure how to determine this.
Any help would be appreciated