Answer:
hi
Step-by-step explanation:
Given:
Total number of cubes = 40
Red cubes = 18
Blue cubes = 13
Yellow cubes = 9
Aysha adds some more red cubes into the bag.
The probability now that she will take a red cube is 0.5.
To find:
The probability that she will take a yellow cube.
Solution:
Let Aysha adds x red cubes into the bag. Then,
Number of total cubes = 40+x
Number of red cubes = 18+x
Probability of getting a red cube is:
![P(Red)=\dfrac{18+x}{40+x}](https://tex.z-dn.net/?f=P%28Red%29%3D%5Cdfrac%7B18%2Bx%7D%7B40%2Bx%7D)
The probability now that she will take a red cube is 0.5. So,
![\dfrac{18+x}{40+x}=0.5](https://tex.z-dn.net/?f=%5Cdfrac%7B18%2Bx%7D%7B40%2Bx%7D%3D0.5)
![18+x=0.5(40+x)](https://tex.z-dn.net/?f=18%2Bx%3D0.5%2840%2Bx%29)
![18+x=20+0.5x](https://tex.z-dn.net/?f=18%2Bx%3D20%2B0.5x)
![x-0.5x=20-18](https://tex.z-dn.net/?f=x-0.5x%3D20-18)
![0.5x=2](https://tex.z-dn.net/?f=0.5x%3D2)
Divide both sides by 0.5.
![x=\dfrac{2}{0.5}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B2%7D%7B0.5%7D)
![x=4](https://tex.z-dn.net/?f=x%3D4)
It means Aysha adds 4 more red cubes into the bag.
Now, the total number of cubes int he bag is:
![40+4=44](https://tex.z-dn.net/?f=40%2B4%3D44)
Probability of getting a yellow cube is:
![P(Yellow)=\dfrac{\text{Number of yellow cubes}}{\text{Total number of cubes}}](https://tex.z-dn.net/?f=P%28Yellow%29%3D%5Cdfrac%7B%5Ctext%7BNumber%20of%20yellow%20cubes%7D%7D%7B%5Ctext%7BTotal%20number%20of%20cubes%7D%7D)
![P(Yellow)=\dfrac{9}{44}](https://tex.z-dn.net/?f=P%28Yellow%29%3D%5Cdfrac%7B9%7D%7B44%7D)
Therefore, the required probability is
.
Answer:
I think it's b or d
Step-by-step explanation: