<span> a) 13 we know that the number of clubs in the deck/52 that the total number of cards in the deck =0 .25= 25%.
b) 12 the remaining number of clubs in the deck/51 the remaining number of cards in the deck = 0.235= 23.5%.
c) 11 same as above/50 the same as above = 0.22= 22%
d) 10/49 = 20.4%
e) 9/48 = 18.75%
f) The combinations that can be made with certain characteristics are
limited to say: ace of clubs to 12 other clubs, two of clubs to 12 other
clubs, three of clubs to 12 other clubs, etc. As the desired outcome is
reached, the probable outcome percentages must be multiplied together
to accommodate all combinations. the probability is .049%.
g) probability of dealt a flush is
13*12*11*10*9*4/52*51*50*49*48 = 617,760/311,875,200 = 0.00198079232, or
0.2% when round up. This is any of the 13 cards needed in a particular
suit, times any of the remaining 12, times any of the remaining 11 after
that, and so on multiplied by 4 since there are four suits in which
this can occur. This is divided by the number of cards in the deck 52
times the remaining cards when that's drawn, and so on and so forth. </span>
If we find the square root of 13 ans 14 we get
sqrt(13) = 3.60555 <span>
sqrt(14) = 3.74166</span>
All Real numbers can be rational number and
irrational number.
<span>We can write 3.7 as 37/10, which is the easy
rational number and an irrational number within the range is sqrt (27/2)</span>
<span>Real number system is used in mathematics and statistics.</span>
For a binomial expansion with exponent 5, the general equation is as follows
(x + y)⁵ = x⁵ + 5x⁴y + 10x³y² + 10x²y³ + 5xy⁴ + y⁵
when expanded from left to right the powers of x decrease from 5 to 0 and powers of y increase from 0 to 5
substitute x =2x and y = 5
(2x + 5)⁵ = (2x)⁵ + 5(2x)⁴5 + 10(2x)³5² + 10(2x)²5³ + 5(2x)5⁴ + 5⁵
<span>= 32x⁵ + 400x⁴ + 2000x³ + 5000x² + 6250x + 3125
</span>we use the pascals triangle to find the coefficient
we can use the binomial theorem to find the 4th term as well
exponent - 5
term - 4
5!/ (5-4)!4! * (2x)⁴5⁵⁻⁴
=120/24 *16x⁴*5
=400x⁴
The answer would be 400$. This is because 40 x 10 = 400.
