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Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
- a)1/2
- b)2/5
- c)8/15
- d)9/20
Correct answer is option 'D'. Can you explain this answer?
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Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at ra...
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Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at ra...
To solve this problem, we need to find the probability of drawing a ticket with a number that is a multiple of 3 or 5 out of a set of 20 tickets.
Let's first determine the total number of favorable outcomes, i.e. the number of tickets that are multiples of 3 or 5.
Multiples of 3:
There are 6 multiples of 3 between 1 and 20, which are 3, 6, 9, 12, 15, and 18.
Multiples of 5:
There are 4 multiples of 5 between 1 and 20, which are 5, 10, 15, and 20.
However, we need to be careful not to count the number 15 twice since it is a multiple of both 3 and 5. So, we only count it once.
Therefore, the total number of favorable outcomes is 6 + 4 - 1 = 9.
Next, we determine the total number of possible outcomes, which is simply the number of tickets in the set, which is 20.
Now, we can calculate the probability of drawing a ticket with a number that is a multiple of 3 or 5 by dividing the number of favorable outcomes by the number of possible outcomes:
Probability = Number of favorable outcomes / Number of possible outcomes = 9 / 20
Simplifying this fraction, we find that the probability is 9/20.
Therefore, the correct answer is option D) 9/20.
Let's first determine the total number of favorable outcomes, i.e. the number of tickets that are multiples of 3 or 5.
Multiples of 3:
There are 6 multiples of 3 between 1 and 20, which are 3, 6, 9, 12, 15, and 18.
Multiples of 5:
There are 4 multiples of 5 between 1 and 20, which are 5, 10, 15, and 20.
However, we need to be careful not to count the number 15 twice since it is a multiple of both 3 and 5. So, we only count it once.
Therefore, the total number of favorable outcomes is 6 + 4 - 1 = 9.
Next, we determine the total number of possible outcomes, which is simply the number of tickets in the set, which is 20.
Now, we can calculate the probability of drawing a ticket with a number that is a multiple of 3 or 5 by dividing the number of favorable outcomes by the number of possible outcomes:
Probability = Number of favorable outcomes / Number of possible outcomes = 9 / 20
Simplifying this fraction, we find that the probability is 9/20.
Therefore, the correct answer is option D) 9/20.
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Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at ra...
Sample space is 20 and p(E) is 9 because multiples with 3 is. 6 and with 5 is 4 and there was common no between them 15 so p(E) was 9
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Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?a)1/2b)2/5c)8/15d)9/20Correct answer is option 'D'. Can you explain this answer?
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Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?a)1/2b)2/5c)8/15d)9/20Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?a)1/2b)2/5c)8/15d)9/20Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?a)1/2b)2/5c)8/15d)9/20Correct answer is option 'D'. Can you explain this answer?.
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Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?a)1/2b)2/5c)8/15d)9/20Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?a)1/2b)2/5c)8/15d)9/20Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?a)1/2b)2/5c)8/15d)9/20Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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