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

13/100
Start Fraction 13 over 100 End Fraction

1/5
Start Fraction 1 over 5 End Fraction

1/10
Start Fraction 1 over 10 End Fraction

13/200

GPT-4o mini · Answer

If Justin reaches his goal of having 20 tickets when there are a total of 200 tickets in the jar, the probability of him winning the drawing can be calculated as follows:

Probability of Justin winning = (Number of Justin's tickets) / (Total number of tickets)

If Justin has 20 tickets and the total is estimated to be 200, we can plug in the numbers:

Probability of Justin winning = 20 / 200 = 1 / 10

So the correct response is:

1/10