Mastering

The student masters the subject matter for the exam in Czech to 98%, from Math to 86%, and from Economics to 71%. What is the probability that he will fail in Math and that others will succeed?

Correct answer:

p =  9.7412 %

Step-by-step explanation:

$$\begin{gathered} p_1=98\%=\frac{98}{100}=\frac{49}{50}=0.98 \\ {p}_2=86\%=\frac{86}{100}=\frac{43}{50}=0.86 \\ {p}_3=71\%=\frac{71}{100}=0.71 \\ p=100\cdot p_1\cdot (1-p_2)\cdot p_3=100\cdot 0.98\cdot (1-0.86)\cdot 0.71=9.7412\% \end{gathered}$$

Try another example