Answer: 0.05699
Step-by-step explanation:
The total number of cards in a deck = 52
The total number of black cards = 26
Then ,![\text{P(Black)}=\dfrac{C(26,4)}{C(52,4)}=0.00182842367\approx0.00183](https://tex.z-dn.net/?f=%5Ctext%7BP%28Black%29%7D%3D%5Cdfrac%7BC%2826%2C4%29%7D%7BC%2852%2C4%29%7D%3D0.00182842367%5Capprox0.00183)
The total number of face cards = 12
Then , ![\text{P(Face)}=\dfrac{C(12,4)}{C(52,4)}\approx0.05522](https://tex.z-dn.net/?f=%5Ctext%7BP%28Face%29%7D%3D%5Cdfrac%7BC%2812%2C4%29%7D%7BC%2852%2C4%29%7D%5Capprox0.05522)
The number of cards that are black and face cards = 6
Then , ![\text{P(Black and Face )}=\dfrac{C(6,4)}{C(52,4)}\approx0.00006](https://tex.z-dn.net/?f=%5Ctext%7BP%28Black%20and%20Face%20%29%7D%3D%5Cdfrac%7BC%286%2C4%29%7D%7BC%2852%2C4%29%7D%5Capprox0.00006)
Then , the probability that a randomly drawn hand of four cards contains all black cards or all face cards is given by :-
![\text{P(Black or Face)}=\text{P(Black)+P(Face)-P(Black and Face)}\\\\\Rightarrow\ \text{P(Black or Face)}=0.00183+0.05522-0.00006\\\\\Rightarrow\ \text{P(Black or Face)}=0.05699](https://tex.z-dn.net/?f=%5Ctext%7BP%28Black%20or%20Face%29%7D%3D%5Ctext%7BP%28Black%29%2BP%28Face%29-P%28Black%20and%20Face%29%7D%5C%5C%5C%5C%5CRightarrow%5C%20%5Ctext%7BP%28Black%20or%20Face%29%7D%3D0.00183%2B0.05522-0.00006%5C%5C%5C%5C%5CRightarrow%5C%20%5Ctext%7BP%28Black%20or%20Face%29%7D%3D0.05699)
I’m not sure but I think the answer is 3
Answer:
![8 y^{50}](https://tex.z-dn.net/?f=8%20y%5E%7B50%7D)
Step-by-step explanation:
Given (64 y Superscript 100 Baseline) Superscript one-half.
Let us write it into an equation.
![\left(64 y^{100}\right)^{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Cleft%2864%20y%5E%7B100%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
Apply radical rule:
and ![a^{m+n}=a^m+a^n](https://tex.z-dn.net/?f=a%5E%7Bm%2Bn%7D%3Da%5Em%2Ba%5En)
![\begin{aligned}\left(64 y^{100}\right)^{\frac{1}{2}} &=\sqrt[2]{64 y^{100}} \\&=\sqrt[2]{8^{2} y^{50} y^{50}} \\&=\sqrt[2]{8^{2}\left(y^{50}\right)^{2}} \\&=8 y^{50}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cleft%2864%20y%5E%7B100%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%26%3D%5Csqrt%5B2%5D%7B64%20y%5E%7B100%7D%7D%20%5C%5C%26%3D%5Csqrt%5B2%5D%7B8%5E%7B2%7D%20y%5E%7B50%7D%20y%5E%7B50%7D%7D%20%5C%5C%26%3D%5Csqrt%5B2%5D%7B8%5E%7B2%7D%5Cleft%28y%5E%7B50%7D%5Cright%29%5E%7B2%7D%7D%20%5C%5C%26%3D8%20y%5E%7B50%7D%5Cend%7Baligned%7D)
Hence,
is equivalent to (64 y Superscript 100 Baseline) Superscript one-half.
Table 01 in the problem is not available.
please upload the table.
so I can answer