Answer: The required probability is ![\dfrac{4}{9}](https://tex.z-dn.net/?f=%5Cdfrac%7B4%7D%7B9%7D)
Step-by-step explanation:
Since we have given that
Number of kids = 10
Number of kids in Team A = 5
Number of kids in Team B = 5
There are three kids in the group, Alex and his two best friends Jose and Carl.
So, number of favourable outcome is given by
![2(\dfrac{8!}{3!\times 5!})](https://tex.z-dn.net/?f=2%28%5Cdfrac%7B8%21%7D%7B3%21%5Ctimes%205%21%7D%29)
Total number of outcomes is given by
![\dfrac{10!}{5!\times 5!}](https://tex.z-dn.net/?f=%5Cdfrac%7B10%21%7D%7B5%21%5Ctimes%205%21%7D)
So, the probability that Alex ends up on the same team with at least one of his two best friends is given by
![\dfrac{2(\dfrac{8!}{5!\times 3!)}}{\dfrac{10!}{5!\times 5!}}\\\\=2\times \dfrac{8!}{3!}\times \dfrac{5!}{10!}\\\\=\dfrac{4}{9}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%28%5Cdfrac%7B8%21%7D%7B5%21%5Ctimes%203%21%29%7D%7D%7B%5Cdfrac%7B10%21%7D%7B5%21%5Ctimes%205%21%7D%7D%5C%5C%5C%5C%3D2%5Ctimes%20%5Cdfrac%7B8%21%7D%7B3%21%7D%5Ctimes%20%5Cdfrac%7B5%21%7D%7B10%21%7D%5C%5C%5C%5C%3D%5Cdfrac%7B4%7D%7B9%7D)
Hence, the required probability is ![\dfrac{4}{9}](https://tex.z-dn.net/?f=%5Cdfrac%7B4%7D%7B9%7D)
Multiply, then you get 2a - 10 = -2. Then isolate the variable by adding 10 on both sides. you get 2a = 8. divide both by 2 and you get a = 4
Answer:
<em>D</em><em>)</em><em> </em><em>hand</em><em> </em><em>and</em><em> </em><em>arm</em><em> </em><em>extended </em><em>upward</em><em> </em><em>.</em><em>.</em><em>.</em>
<em>is</em><em> </em><em>your</em><em> </em><em>answer</em><em> </em>
<em>d</em><em>)</em><em> </em><em>hand</em><em> </em><em>and</em><em> </em><em>arm</em><em> </em><em>extended</em><em> </em><em>upward</em><em>.</em><em>.</em><em>.</em>
Answer is a because it is over 4 and it is a negative