The state of georgia has several statewide lottery options. one of the simpler ones is a "pick 3" game in which you pick one of the 1000 three-digit numbers between 000 and 999. the lottery selects a three-digit number at random. with a bet of $1, you win $330 if your number is selected and nothing ($0) otherwise. let x denote your winnings for a $1 bet, so x = $0 or x = $330. construct the probability distribution for x.

let x denote your winnings for a $1 bet, so x = $0 or x = $330. construct the probability distribution for x.

you pick one of the 1000 three-digit numbers between 000 and 999

total number of occurrences = 100

With a single $1 bet, the probability that you win $330 =

= 0.001

The probability you lose = 1 - probability(win)

= 1- 0.001 =  0.999

Now we make probability distribution table

x                P(x)

$0           0.999    (you lost)

$330      0.001     (you win)

2.34 * 10^5.

Step-by-step explanation:

234000 = 2.34 * 10^5

- there are 5 digits after the first number so the exponent is 5.