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250 lottery tickets were sold and there are 5 prizes on these tickets. If Kunal has purchased one lottery ticket, what is the probability that he wins a prize?
- a)1/50
- b)1/125
- c)3/125
- d)3/50
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
250 lottery tickets were sold and there are 5 prizes on these tickets....
Total number of outcomes = 250
Number of favourable outcomes = 5
∴ Probability that Kunal wins the prize = 5/250 = 1/50
Number of favourable outcomes = 5
∴ Probability that Kunal wins the prize = 5/250 = 1/50
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Community Answer
250 lottery tickets were sold and there are 5 prizes on these tickets....
Understanding the Problem
When dealing with probability, we want to determine the chances of a specific event occurring. In this case, we want to find the probability that Kunal wins a prize with his single lottery ticket.
Total Lottery Tickets
- The total number of lottery tickets sold is 250.
Number of Winning Tickets
- There are 5 prizes available, meaning there are 5 winning tickets among the total.
Probability Formula
To calculate the probability of an event, we use the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \]
Favorable Outcomes for Kunal
- Kunal has 1 ticket, and there are 5 winning tickets.
- Therefore, the number of favorable outcomes for Kunal winning is 5.
Total Possible Outcomes
- The total possible outcomes are represented by the total number of tickets sold, which is 250.
Calculating the Probability
Using the formula mentioned earlier:
\[
\text{Probability that Kunal wins a prize} = \frac{5}{250}
\]
- Simplifying this fraction:
\[
\frac{5}{250} = \frac{1}{50}
\]
Conclusion
- Thus, the probability that Kunal wins a prize is \( \frac{1}{50} \).
This leads us to the correct answer, which is option 'A'.
When dealing with probability, we want to determine the chances of a specific event occurring. In this case, we want to find the probability that Kunal wins a prize with his single lottery ticket.
Total Lottery Tickets
- The total number of lottery tickets sold is 250.
Number of Winning Tickets
- There are 5 prizes available, meaning there are 5 winning tickets among the total.
Probability Formula
To calculate the probability of an event, we use the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \]
Favorable Outcomes for Kunal
- Kunal has 1 ticket, and there are 5 winning tickets.
- Therefore, the number of favorable outcomes for Kunal winning is 5.
Total Possible Outcomes
- The total possible outcomes are represented by the total number of tickets sold, which is 250.
Calculating the Probability
Using the formula mentioned earlier:
\[
\text{Probability that Kunal wins a prize} = \frac{5}{250}
\]
- Simplifying this fraction:
\[
\frac{5}{250} = \frac{1}{50}
\]
Conclusion
- Thus, the probability that Kunal wins a prize is \( \frac{1}{50} \).
This leads us to the correct answer, which is option 'A'.
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250 lottery tickets were sold and there are 5 prizes on these tickets. If Kunal has purchased one lottery ticket, what is the probability that he wins a prize?a)1/50b)1/125c)3/125d)3/50Correct answer is option 'A'. Can you explain this answer?
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