Answer:
[tex]10^{-5}[/tex]
Step-by-step explanation:
Let us assume that, A be the event of winning the lottery.
The probability of winning is,
[tex]P(A)=\dfrac{1}{10}[/tex]
You bought 5 tickets. Winning all the five lotteries will be,
[tex]P(\text{A and }\text{A and }\text{A and }\text{A and }\text{A})=P(A)\cdot P(A)\cdot P(A)\cdot P(A)\cdot P(A)\\\\=\dfrac{1}{10}\cdot \dfrac{1}{10}\cdot\dfrac{1}{10}\cdot\dfrac{1}{10}\cdot\dfrac{1}{10}=\dfrac{1}{10^{5}}=10^{-5}[/tex]
