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A piggy bank contains 100 fifty paise coins, 50 one rupee coins, 20 two rupee coins and 10 five rupee coins. One coin is drawn at random. The probability that the coin drawn will not be a five rupee coin is
  • a)
    8/9
  • b)
    7/18
  • c)
    5/9
  • d)
    17/18
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A piggy bank contains 100 fifty paise coins, 50 one rupee coins, 20 tw...
Number of total coins = 100 + 50 + 20 + 10 = 180
Number of coins except five rupee coins = 180 – 10 = 170
∴ Required Probability = 170/180 = 17/18
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Most Upvoted Answer
A piggy bank contains 100 fifty paise coins, 50 one rupee coins, 20 tw...
Number of total coins = 100 + 50 + 20 + 10 = 180
Number of coins except five rupee coins = 180 – 10 = 170
∴ Required Probability = 170/180 = 17/18
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Community Answer
A piggy bank contains 100 fifty paise coins, 50 one rupee coins, 20 tw...
Probability of not drawing a five rupee coin can be calculated by dividing the number of non-five rupee coins by the total number of coins in the piggy bank.

Given information:
- 100 fifty paise coins
- 50 one rupee coins
- 20 two rupee coins
- 10 five rupee coins

Let's calculate the total number of coins in the piggy bank:

Total number of coins = 100 + 50 + 20 + 10 = 180

The number of non-five rupee coins = 100 + 50 + 20 = 170

Therefore, the probability of not drawing a five rupee coin can be calculated as:

Probability = (Number of non-five rupee coins) / (Total number of coins)
Probability = 170 / 180

Simplifying the fraction, we have:

Probability = 17 / 18

Therefore, the correct answer is option 'D' - 17/18.

In summary:
- Total number of coins in the piggy bank is 180.
- The number of non-five rupee coins is 170.
- Probability of not drawing a five rupee coin is 17/18.
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A piggy bank contains 100 fifty paise coins, 50 one rupee coins, 20 two rupee coins and 10 five rupee coins. One coin is drawn at random. The probability that the coin drawn will not be a five rupee coin isa)8/9b)7/18c)5/9d)17/18Correct answer is option 'D'. Can you explain this answer?
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