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)
13/100
1/10
1/5
13/200

GPT-4o mini · Answer

If Justin has 20 tickets when the total number of tickets in the jar is approximately 200, then the probability of him winning the drawing can be calculated as follows:

The probability \( P \) of Justin winning the drawing is given by the ratio of the number of his tickets to the total number of tickets in the jar:

\[ P = \frac{\text{Number of tickets Justin has}}{\text{Total number of tickets}} = \frac{20}{200} \]

Simplifying this fraction:

\[ P = \frac{1}{10} \]

Thus, the probability of Justin winning the drawing if he meets his goal of 20 tickets is 1/10.