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16. Cards marked with numbers 1, 2, 3, ..., 25 are placed in a box and mixed thoroughly and one card is drawn at [1] random from the box. The probability that the number on the card is a multiple of 3 and 5 is?
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16. Cards marked with numbers 1, 2, 3, ..., 25 are placed in a box and...
Probability of drawing a card that is a multiple of 3 and 5
To find the probability of drawing a card that is a multiple of both 3 and 5, we need to determine the number of cards that satisfy this condition and divide it by the total number of cards in the box.
Step 1: Determine the number of cards that are multiples of 3 and 5
To find the number of cards that are multiples of 3 and 5, we need to identify the common multiples of these two numbers. The common multiples of 3 and 5 are numbers that are divisible by both 3 and 5.
Step 2: Identify the common multiples of 3 and 5
To identify the common multiples of 3 and 5, we can list the multiples of each number and find the numbers that appear in both lists.
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24
The multiples of 5 are: 5, 10, 15, 20, 25
From the lists above, we can see that the common multiples of 3 and 5 are: 15 and 25.
Step 3: Determine the number of cards that are multiples of 3 and 5
Since there are only 2 cards in the box that are multiples of both 3 and 5 (15 and 25), the number of cards that satisfy this condition is 2.
Step 4: Determine the total number of cards in the box
The total number of cards in the box is given as 25.
Step 5: Calculate the probability
To calculate the probability, we divide the number of cards that are multiples of 3 and 5 by the total number of cards in the box.
Probability = Number of cards that are multiples of 3 and 5 / Total number of cards in the box
Probability = 2 / 25
Therefore, the probability of drawing a card that is a multiple of both 3 and 5 is 2/25.
To find the probability of drawing a card that is a multiple of both 3 and 5, we need to determine the number of cards that satisfy this condition and divide it by the total number of cards in the box.
Step 1: Determine the number of cards that are multiples of 3 and 5
To find the number of cards that are multiples of 3 and 5, we need to identify the common multiples of these two numbers. The common multiples of 3 and 5 are numbers that are divisible by both 3 and 5.
Step 2: Identify the common multiples of 3 and 5
To identify the common multiples of 3 and 5, we can list the multiples of each number and find the numbers that appear in both lists.
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24
The multiples of 5 are: 5, 10, 15, 20, 25
From the lists above, we can see that the common multiples of 3 and 5 are: 15 and 25.
Step 3: Determine the number of cards that are multiples of 3 and 5
Since there are only 2 cards in the box that are multiples of both 3 and 5 (15 and 25), the number of cards that satisfy this condition is 2.
Step 4: Determine the total number of cards in the box
The total number of cards in the box is given as 25.
Step 5: Calculate the probability
To calculate the probability, we divide the number of cards that are multiples of 3 and 5 by the total number of cards in the box.
Probability = Number of cards that are multiples of 3 and 5 / Total number of cards in the box
Probability = 2 / 25
Therefore, the probability of drawing a card that is a multiple of both 3 and 5 is 2/25.
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16. Cards marked with numbers 1, 2, 3, ..., 25 are placed in a box and mixed thoroughly and one card is drawn at [1] random from the box. The probability that the number on the card is a multiple of 3 and 5 is?
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16. Cards marked with numbers 1, 2, 3, ..., 25 are placed in a box and mixed thoroughly and one card is drawn at [1] random from the box. The probability that the number on the card is a multiple of 3 and 5 is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 16. Cards marked with numbers 1, 2, 3, ..., 25 are placed in a box and mixed thoroughly and one card is drawn at [1] random from the box. The probability that the number on the card is a multiple of 3 and 5 is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 16. Cards marked with numbers 1, 2, 3, ..., 25 are placed in a box and mixed thoroughly and one card is drawn at [1] random from the box. The probability that the number on the card is a multiple of 3 and 5 is?.
16. Cards marked with numbers 1, 2, 3, ..., 25 are placed in a box and mixed thoroughly and one card is drawn at [1] random from the box. The probability that the number on the card is a multiple of 3 and 5 is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 16. Cards marked with numbers 1, 2, 3, ..., 25 are placed in a box and mixed thoroughly and one card is drawn at [1] random from the box. The probability that the number on the card is a multiple of 3 and 5 is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 16. Cards marked with numbers 1, 2, 3, ..., 25 are placed in a box and mixed thoroughly and one card is drawn at [1] random from the box. The probability that the number on the card is a multiple of 3 and 5 is?.
Solutions for 16. Cards marked with numbers 1, 2, 3, ..., 25 are placed in a box and mixed thoroughly and one card is drawn at [1] random from the box. The probability that the number on the card is a multiple of 3 and 5 is? in English & in Hindi are available as part of our courses for Class 10.
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