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Question

Problem Solving Using Theoretical Probabilities Quick Check
4 of 54 of 5 Items

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

15
Start Fraction 1 over 5 End Fraction

110
Start Fraction 1 over 10 End Fraction

13200
Start Fraction 13 over 200 End Fraction

13100

Answer 1

To find the probability of Justin winning the drawing if he meets his goal of having 20 tickets, we use the formula for probability:

\[ P(\text{winning}) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}} \]

If Justin achieves his goal, he will have 20 tickets out of a total of 200 tickets in the jar. Therefore, the probability \( P \) of Justin winning the drawing is:

\[ P = \frac{20}{200} = \frac{1}{10} \]

So the correct answer is:

\(\text{Start Fraction 1 over 10 End Fraction}\)

Thus, the probability of Justin winning the drawing if he meets his goal is \(\frac{1}{10}\).