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In a lottery there are 10 prizes and 20 blanks. A ticket is chosen at random. What is the probability of not getting a prize?
- a)1/2
- b)2/3
- c)3/13
- d)1/13
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
In a lottery there are 10 prizes and 20 blanks. A ticket is chosen at ...
Understanding the Lottery Setup
In this lottery scenario, we have:
- 10 prizes
- 20 blanks
This gives a total of:
- Total tickets = 10 (prizes) + 20 (blanks) = 30 tickets
Calculating the Probability of Not Getting a Prize
To find the probability of not getting a prize, we need to consider the number of blank tickets:
- Number of blank tickets = 20
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes:
- Probability of not getting a prize = Number of blank tickets / Total tickets
Substituting the Values
Now, substituting the values we have:
- Probability of not getting a prize = 20 (blanks) / 30 (total tickets)
Simplifying the Probability
To simplify the fraction:
- 20 / 30 = 2 / 3
Thus, the probability of not getting a prize is:
- Probability = 2/3
Conclusion
Therefore, the correct answer is option 'b' (2/3). This means if you select a ticket at random, there is a 2 out of 3 chance that it will be a blank ticket, not a prize.
In this lottery scenario, we have:
- 10 prizes
- 20 blanks
This gives a total of:
- Total tickets = 10 (prizes) + 20 (blanks) = 30 tickets
Calculating the Probability of Not Getting a Prize
To find the probability of not getting a prize, we need to consider the number of blank tickets:
- Number of blank tickets = 20
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes:
- Probability of not getting a prize = Number of blank tickets / Total tickets
Substituting the Values
Now, substituting the values we have:
- Probability of not getting a prize = 20 (blanks) / 30 (total tickets)
Simplifying the Probability
To simplify the fraction:
- 20 / 30 = 2 / 3
Thus, the probability of not getting a prize is:
- Probability = 2/3
Conclusion
Therefore, the correct answer is option 'b' (2/3). This means if you select a ticket at random, there is a 2 out of 3 chance that it will be a blank ticket, not a prize.
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Community Answer
In a lottery there are 10 prizes and 20 blanks. A ticket is chosen at ...
Option A is correct
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In a lottery there are 10 prizes and 20 blanks. A ticket is chosen at random. What is the probability of not getting a prize?a)1/2b)2/3c)3/13d)1/13Correct answer is option 'B'. Can you explain this answer?
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