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A box contains 19 cards having numbers 1, 2, 3, .... 19. A card is drawn from the box. What is the probability that the number on the card is divisible by 5?
- a)3/19
- b)5/19
- c)7/19
- d)9/19
Correct answer is option 'A'. Can you explain this answer?
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A box contains 19 cards having numbers 1, 2, 3, .... 19. A card is dra...
To find the probability that the number on the card is divisible by 5, we need to determine the number of favorable outcomes (cards divisible by 5) and the total number of possible outcomes (all cards in the box).
Total number of possible outcomes:
The box contains 19 cards with numbers 1, 2, 3, ..., 19. Therefore, the total number of possible outcomes is 19.
Number of favorable outcomes:
Out of the 19 cards, we need to identify the ones that are divisible by 5. The numbers divisible by 5 in the given range are 5, 10, 15, and 20. However, since there is no card with the number 20, we can exclude it. Therefore, there are 3 favorable outcomes (cards with numbers 5, 10, and 15).
Probability calculation:
Probability is the ratio of favorable outcomes to total outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
= 3 / 19
Therefore, the probability that the number on the card is divisible by 5 is 3/19.
Answer: Option A) 3/19
Total number of possible outcomes:
The box contains 19 cards with numbers 1, 2, 3, ..., 19. Therefore, the total number of possible outcomes is 19.
Number of favorable outcomes:
Out of the 19 cards, we need to identify the ones that are divisible by 5. The numbers divisible by 5 in the given range are 5, 10, 15, and 20. However, since there is no card with the number 20, we can exclude it. Therefore, there are 3 favorable outcomes (cards with numbers 5, 10, and 15).
Probability calculation:
Probability is the ratio of favorable outcomes to total outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
= 3 / 19
Therefore, the probability that the number on the card is divisible by 5 is 3/19.
Answer: Option A) 3/19
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A box contains 19 cards having numbers 1, 2, 3, .... 19. A card is drawn from the box. What is the probability that the number on the card is divisible by 5?a)3/19b)5/19c)7/19d)9/19Correct answer is option 'A'. Can you explain this answer?
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