Justin’s teacher places a ticket with a student’s name in a jar each time they perform an act of kindness. At the end of the week the teacher will draw a ticket from the jar and award a prize. Justin has 13 tickets so far, with a total of 100 in the whole jar. His goal is to have 20 tickets, and he’s estimating the total number of tickets at that point would be about 200. What is the probability of him winning the drawing if he meets his goal?(1 point)

Question

Justin’s teacher places a ticket with a student’s name in a jar each time they perform an act of kindness. At the end of the week the teacher will draw a ticket from the jar and award a prize. Justin has 13 tickets so far, with a total of 100 in the whole jar. His goal is to have 20 tickets, and he’s estimating the total number of tickets at that point would be about 200. What is the probability of him winning the drawing if he meets his goal?(1 point)
Responses

110
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15
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13200
Start Fraction 13 over 200 End Fraction

13100

GPT-4o mini · Answer

To determine the probability of Justin winning the drawing if he meets his goal of having 20 tickets when the total is approximately 200 tickets, we can use the formula for probability:

\[ P(\text{Winning}) = \frac{\text{Number of tickets Justin has}}{\text{Total number of tickets}} \]

If Justin reaches his goal of 20 tickets and there are about 200 tickets in total, the probability would be:

\[ P(\text{Winning}) = \frac{20}{200} = \frac{1}{10} \]

From the provided options, the correct answer is:

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