Answer:
See below
Step-by-step explanation:
If you are squaring a number, and then taking the square root of it, you are essentially undoing the original operation:
![\displaystyle \sqrt{\biggr(\frac{4}{7}\biggr)^2}=\biggr[\biggr(\frac{4}{7}\biggr)^2\biggr]^{\frac{1}{2}}=\biggr(\frac{4}{7}\biggr)^{2*\frac{1}{2}}=\frac{4}{7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%7B%5Cbiggr%28%5Cfrac%7B4%7D%7B7%7D%5Cbiggr%29%5E2%7D%3D%5Cbiggr%5B%5Cbiggr%28%5Cfrac%7B4%7D%7B7%7D%5Cbiggr%29%5E2%5Cbiggr%5D%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Cbiggr%28%5Cfrac%7B4%7D%7B7%7D%5Cbiggr%29%5E%7B2%2A%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Cfrac%7B4%7D%7B7%7D)
Hence, we are back starting with the original number
Answer:
1/15
Step-by-step explanation:
When the bag is full (of 10 marbles), there are 3 pink marbles. Thus, the probability of drawing a pink marble is 3/10.
We don't replace that pink marble. So now we have 9 marbles instead of 10. We now have 2 pink marbles in the bag. The probability of drawing a pink one now is 2/9.
Thus, the probability of drawing 2 pink marbles in a row is (3/10)(2/9), or
6/90, or 1/15