Answer:
or
.
Step-by-step explanation:
Given : A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards.
The total number of cards in a deck 52
Number of faces cards in a deck = 12
Number of cards not face cards = 40
The total number of combinations of drawing 9 cards out of 52 cards = ![^{52}C_9](https://tex.z-dn.net/?f=%5E%7B52%7DC_9)
Now , the combination of 9 cards such that exactly 6 of them are face cards = ![^{12}C_{6}\times^{40}C_3](https://tex.z-dn.net/?f=%5E%7B12%7DC_%7B6%7D%5Ctimes%5E%7B40%7DC_3)
Now , the probability that the hand contains exactly 6 face cards will be :-
![\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5E%7B12%7DC_%7B6%7D%5Ctimes%5E%7B40%7DC_3%7D%7B%5E%7B52%7DC_9%7D)
![=\dfrac{\dfrac{12!}{6!6!}\times\dfrac{40!}{3!37!}}{\dfrac{52!}{9!\times43!}}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{228}{91885}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%5Cdfrac%7B12%21%7D%7B6%216%21%7D%5Ctimes%5Cdfrac%7B40%21%7D%7B3%2137%21%7D%7D%7B%5Cdfrac%7B52%21%7D%7B9%21%5Ctimes43%21%7D%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_r%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D%5D%5C%5C%5C%5C%3D%5Cdfrac%7B228%7D%7B91885%7D)
Hence, the probability that the hand contains exactly 6 face cards. is
.
Answer:
outliar is23
Step-by-step explanation:
1. big planets and carbon dioxide
2. when god sent adam (the first human being) to earth and had a female with him they got married and gave birth to children and the children marry each other and so on.
3. yes we're the only alive humans within this universe, but outside the universe are god and his worshippers.
4. our human-shaped bodies are the way we feel, hear, look, and do lots more things!
5. when someone feels unlike normal.
6. to feel there's a side of u that can do the impossible.
7. things were passed down from generations so it's possible that "stuff" can be made back when adam came to earth but other than that there was "stuff" even before humanity.
8. yes
other than that, hope u got ur questions solved