Thirty people are eligible to win cash prizes. The number of each cash award prize is shown in the table. Prizes will be given out randomly one at a time. What is the probability of the first person winning the $50 prize?

no table.

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Thirty people are eligible to win cash prizes. The number of each cash award prize is shown in the table. Prizes will be given out randomly one at a time. What is the probability of the first person winning the $50 prize?

1/6

1/6

To calculate the probability of the first person winning the $50 prize, we need to know the total number of possible outcomes and the number of favorable outcomes.

The total number of possible outcomes is given by the number of eligible people, which is 30.

The number of favorable outcomes is the number of ways the first person can win the $50 prize, which is 1.

So, the probability of the first person winning the $50 prize is calculated by dividing the number of favorable outcomes (1) by the total number of possible outcomes (30):

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
= 1 / 30

Therefore, the probability of the first person winning the $50 prize is 1/30 or approximately 0.0333 (rounded to four decimal places).