SOLUTION: 2 cards are randomly selected from a 52-card deck. What is the probability of getting 2 hearts, or 2 numbers less then 8 (count aces as 1).

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Question 254691: 2 cards are randomly selected from a 52-card deck. What is the probability of getting 2 hearts, or 2 numbers less then 8 (count aces as 1).
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There are 13 hearts in the deck of 52.
The probability of getting the first heart is 13/52=1/4.
The probability of getting the second heart is 12/51.
Since they're independent events, the probability of two hearts is
P=%281%2F4%29%2812%2F51%29=3%2F51=0.059
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Numbers less than 8 are Ace, 2, 3, 4, 5, 6, 7, which are 7 cards in 4 suits or 28 total.
P%28first%29=28%2F52=7%2F13
P%28second%29=27%2F51=9%2F17
P%28both%29=%287%2F13%29%289%2F17%29=63%2F221=0.285