Question

suppose you have a 1/10 chance of winning with a scratch off lottery ticket if you buy 5 tickets what is the probability of winning with all five

Answer 1

Sorry I did it wrong

So what I did was take

1/10 to the fifth power 

Which would equal .00001 

1/.00001 would be 100,000 so i am pretty sure its 100,000

Answer 2

Answer:

$10^{-5}$

Step-by-step explanation:

Let us assume that, A be the event of winning the lottery.

The probability of winning is,

$P(A)=\dfrac{1}{10}$

You bought 5 tickets. Winning all the five lotteries will be,

$P(\text{A and }\text{A and }\text{A and }\text{A and }\text{A})=P(A)\cdot P(A)\cdot P(A)\cdot P(A)\cdot P(A)\\\\=\dfrac{1}{10}\cdot \dfrac{1}{10}\cdot\dfrac{1}{10}\cdot\dfrac{1}{10}\cdot\dfrac{1}{10}=\dfrac{1}{10^{5}}=10^{-5}$