The answer is 5 divided by 1/3
Answer: The chance both cards will be a spade is
.
Step-by-step explanation:
We know that , in a standard deck , the total number of cards = 52
The number of spades = 13
If a person selected 2 cards,
The total number of combination of selecting 2 cards out of 52 = ![^{52}C_2](https://tex.z-dn.net/?f=%5E%7B52%7DC_2)
The number of combination of selecting 2 spade cards out of 13 = ![^{13}C_2](https://tex.z-dn.net/?f=%5E%7B13%7DC_2)
Then , the probability that both cards will be a spade=![\dfrac{^{13}C_2}{^{52}C_2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5E%7B13%7DC_2%7D%7B%5E%7B52%7DC_2%7D)
![\dfrac{\dfrac{13!}{2!11!}}{\dfrac{52!}{2!\times50!}}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac%7B13%21%7D%7B2%2111%21%7D%7D%7B%5Cdfrac%7B52%21%7D%7B2%21%5Ctimes50%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)
![=\dfrac{13\times12}{51\times52}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B13%5Ctimes12%7D%7B51%5Ctimes52%7D)
![=\dfrac{1}{17}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B17%7D)
Hence, the chance both cards will be a spade is
.
Answer: 1. 3g+14
2. 29n+21
3. 10p+8
4. 12e-8-3e
5. 9t
7. -22+3b
Step-by-step explanation:
1. 5g-2(g-7)
5g-2g+14
3g+14.
2. 32n-3(n-7)
32n-3n+21
29n+21
3. 12p-2(p-4)
12p-2p+8
10p+8
4. 4(3e-2)-3e
12e-8-3e
5. -5t(t-3)
-6t+15t
9t
7. -4(3-b) +2(3b +2)-7(b+2)
-12+4b+6b+4-7b-14
-22+3b
Answer:
<u>vertex</u><u> </u><u>abc</u><u> </u>is a triangle