Question

If you decide to play a Pick 3 lottery game, in which you have to guess the exact order of the three numbers, what is your probability of winning? All 3 numbers will be between 0 and 9 and can be chosen more than once.

Answer 1

1/1,000 chance of winning

Explanation:

Answer 2

Answer: The required probability is 0.1%.

Step-by-step explanation: Given that we have decided to play a Pick 3 lottery game in which we have to guess the exact order of the three numbers.

We are to find the probability of winning.

Let S denotes the sample space for choosing 3 numbers out of 10, .i.e., from 0 to 9. And A denote the event that we chose the exact order of the three numbers.

Since a number can be chosen more than once, so

`n(S)=10*10*10=1000,\\\\n(A)=1.`

Therefore, the probability of event A will be

`P(A)=(n(A))/(n(S))=(1)/(1000)=(1)/(10)\%=0.1\%.`

Thus, the required probability is 0.1%.