So I already know the answers, but I am having trouble understanding where they

Question

So I already know the answers, but I am having trouble understanding where they came from. If you could please provide the formula/explanation for how to solve problems like this, I would greatly appreciate it.

The answers are:

1) 1 in 221

2) 1 in 17

3) 1 in 17

4) 1 in 4

Thank you.

In card games, we assume a well shufmed deck, where the odds of any card in a deck of n cards has a probability of of being drawn. The following problems deal with two card hand from a standard 52 card deck, so the denominator will always be 52, which is 52x51.Again, give the final answer as "1 in x", where x is a whole number, (4 points) Answer The probability of drawing two aces in a two card hand. Answer The probability of drawing any pair in a two card hand. The probability drawing two spades in a two card hand. of Answer: The probability of drawing two cards of the same suit in a two card hand. Answer

Explanation / Answer

a) probabilty =first card is an ace*secoond card is an ace =(4/52)*(3/51)=(1/13)*(1/17)=1/221

b)probabilty =first card is any out of 52*second card is of same rank as first>

c)probabilty=first card is spade*second card is spade =(13/52)*(12/51)=(1/4)*(4/17)=1/17

d) probabilty =first card is any out of 52*second card is of same suit as first>

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