Question

There is a raffle with 500 tickets. One ticket will win a $670 prize, and the other tickets will win nothing. X is the payoff for one ticket in the raffle. Write the probability distribution of X in the table below.

Write each probability as an exact decimal.

Answer 1

The probability distribution of X for this raffle is as follows:

Value of X Probability

$670 1/500

$0 499/500

The probability of winning the $670 prize is 1/500, as there is only one ticket out of 500 that will win this prize. The probability of not winning the prize is 499/500, as there are 499 tickets out of 500 that will not win the prize.

Note that the probabilities in this distribution add up to 1, as is required for any probability distribution.

Explanation: