Solve (2)P=0.384+2*0.2*0.8*0.6+0.8*0.8*0.4

$$( 2 ) P = 0.384 + 2 * 0.2 * 0.8 * 0.6 + 0.8 * 0.8 * 0.4$$

Solve for P

$$P=0.416$$

Steps for Solving Linear Equation

Multiply 2 and 0.2 to get 0.4.

$$2P=0.384+0.4\times 0.8\times 0.6+0.8\times 0.8\times 0.4$$

Multiply 0.4 and 0.8 to get 0.32.

$$2P=0.384+0.32\times 0.6+0.8\times 0.8\times 0.4$$

Multiply 0.32 and 0.6 to get 0.192.

$$2P=0.384+0.192+0.8\times 0.8\times 0.4$$

Add 0.384 and 0.192 to get 0.576.

$$2P=0.576+0.8\times 0.8\times 0.4$$

Multiply 0.8 and 0.8 to get 0.64.

$$2P=0.576+0.64\times 0.4$$

Multiply 0.64 and 0.4 to get 0.256.

$$2P=0.576+0.256$$

Add 0.576 and 0.256 to get 0.832.

$$2P=0.832$$

Divide both sides by 2.

$$P=\frac{0.832}{2}$$

Expand \frac{0.832}{2} by multiplying both numerator and the denominator by 1000.

$$P=\frac{832}{2000}$$

Reduce the fraction \frac{832}{2000} to lowest terms by extracting and canceling out 16.

$$P=\frac{52}{125}$$