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A box contains 100 cards marked with numbers 1 to 100.If one card is drawn from box , find the probability that it bears (1)single digit number (2)two digit number (3)three digit number (4)a multiple of 9 (5)a multiple of 5?
Most Upvoted Answer
A box contains 100 cards marked with numbers 1 to 100.If one card is d...
Probability of drawing a single digit number:

There are a total of 100 cards, out of which 9 cards (1 to 9) are single-digit numbers. Therefore, the probability of drawing a single-digit number can be calculated as:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 9 / 100 = 0.09 or 9%

Probability of drawing a two-digit number:

There are a total of 100 cards, out of which 90 cards (10 to 99) are two-digit numbers. Therefore, the probability of drawing a two-digit number can be calculated as:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 90 / 100 = 0.9 or 90%

Probability of drawing a three-digit number:

There are no three-digit numbers in the given set of cards. Therefore, the probability of drawing a three-digit number is 0.

Probability of drawing a multiple of 9:

A number is a multiple of 9 if it is divisible by 9. There are a total of 11 multiples of 9 in the given set of cards (9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99). Therefore, the probability of drawing a multiple of 9 can be calculated as:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 11 / 100 = 0.11 or 11%

Probability of drawing a multiple of 5:

A number is a multiple of 5 if it is divisible by 5. There are a total of 20 multiples of 5 in the given set of cards (5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100). Therefore, the probability of drawing a multiple of 5 can be calculated as:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 20 / 100 = 0.2 or 20%

In summary:
- The probability of drawing a single-digit number is 0.09 or 9%.
- The probability of drawing a two-digit number is 0.9 or 90%.
- The probability of drawing a three-digit number is 0.
- The probability of drawing a multiple of 9 is 0.11 or 11%.
- The probability of drawing a multiple of 5 is 0.2 or 20%.
Community Answer
A box contains 100 cards marked with numbers 1 to 100.If one card is d...
1. 9/100
2.91/100
3.0
4.11/100
5.1/5
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A box contains 100 cards marked with numbers 1 to 100.If one card is drawn from box , find the probability that it bears (1)single digit number (2)two digit number (3)three digit number (4)a multiple of 9 (5)a multiple of 5?
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A box contains 100 cards marked with numbers 1 to 100.If one card is drawn from box , find the probability that it bears (1)single digit number (2)two digit number (3)three digit number (4)a multiple of 9 (5)a multiple of 5? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A box contains 100 cards marked with numbers 1 to 100.If one card is drawn from box , find the probability that it bears (1)single digit number (2)two digit number (3)three digit number (4)a multiple of 9 (5)a multiple of 5? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box contains 100 cards marked with numbers 1 to 100.If one card is drawn from box , find the probability that it bears (1)single digit number (2)two digit number (3)three digit number (4)a multiple of 9 (5)a multiple of 5?.
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