Answer:
Farthest left 1 1/3
Step-by-step explanation:
5-4 = 1
Since the denominators are the same, subtract 2 and 1
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y + 6 =
(x - 9) ← distribute the parenthesis
y + 6 =
x - 3 ← subtract 6 from both sides
y =
x - 9 ← in slope- intercept form
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
.