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 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 that 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?
13/200
1/5
13/100
1/10
13/200
Maybe another approach. The correct answer was 1/10.
Can you explain so I can learn? Thanks
Of course! Let's break it down step by step.
1. Justin currently has 13 tickets out of 100 total tickets.
- So, the probability of Justin winning the drawing currently is 13/100.
2. Justin's goal is to have 20 tickets, and he's estimating that the total number of tickets at that point would be about 200.
- If Justin reaches his goal of having 20 tickets, then the total number of tickets would indeed be 200.
- Therefore, the probability of Justin winning the drawing if he meets his goal would be 20/200.
3. Simplify the probability:
- 20/200 = 1/10
Therefore, the probability of Justin winning the drawing if he meets his goal is 1/10.
I hope this explanation clarifies things for you! Let me know if you have any more questions.