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A fundraiser lottery draws two winners each month from 50 tickets numbered 1 through 50. Margery always puts her age, 34, on her lottery ticket and enters it into the lottery. This month, the number 5 is drawn first and removed from the lottery.

What is the probability of drawing the number 34 on the second draw?

A. [tex]$\frac{34}{49}$[/tex]
B. [tex]$\frac{1}{50}$[/tex]
C. [tex]$\frac{34}{50}$[/tex]
D. [tex]$\frac{1}{49}$[/tex]

Answer :

To solve this problem, we need to determine the probability of the number 34 being drawn on the second draw of the lottery.

1. Total Initial Tickets: There are initially 50 tickets, numbered 1 through 50.

2. First Draw: The number 5 is drawn first and removed from the lottery. After this draw, there are now [tex]\(50 - 1 = 49\)[/tex] tickets remaining.

3. Second Draw: The next step is to figure out the probability of drawing Margery's number, 34, on the second draw.

4. Probability Calculation: Since there is only one ticket with the number 34 among the remaining 49 tickets, the probability of drawing the number 34 is:
[tex]\[
\frac{1}{49}
\][/tex]

Thus, the probability that Margery's ticket (number 34) will be drawn on the second draw is [tex]\(\frac{1}{49}\)[/tex].

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