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A wallet has three denominations of coins – Rs. 1, Rs. 5 and Rs. 10 in the ratio of 2 ∶ 3 ∶ 5. A coin is drawn at random. What us the probability that coin drawn is not a Rs. 5 coin of wallet has a total of 30 coins?

A wallet has three denominations of coins – Rs. 1, Rs. 5 and Rs. 10 in the ratio of 2 ∶ 3 ∶ 5. A coin is drawn at random. What us the probability that coin drawn is not a Rs. 5 coin of wallet has a total of 30 coins? Correct Answer 7/10

Given:

A wallet has three denominations of coins – Rs. 1, Rs. 5 and Rs. 10 in the ratio of 2 ∶ 3 ∶ 5.

A coin is drawn at random.

Total number of coins = 30

Concepts used:

Number of coins of particular denomination = (Ratio of coins of given denomination/Sum of ratios) × Total number of coins

Probability that coin drawn is not a Rs. 5 coin = 1 – {P (Coin drawn is Rs. 5 coin)}

Calculation:

A wallet has three denominations of coins – Rs. 1, Rs. 5 and Rs. 10 in the ratio of 2 ∶ 3 ∶ 5 and there are total of 30 coins.

⇒ Number of Rs. 1 coins = 2/(2 + 3 + 5) × 30 = 6

⇒ Number of Rs. 5 coins = 3/(2 + 3 + 5) × 30 = 9

⇒ Number of Rs. 1 coins = 5/(2 + 3 + 5) × 30 = 15

Probability that coin drawn is not a Rs. 5 coin = 1 – (9/30) = 7/10

∴ Probability that coin drawn is not a Rs. 5 coin is 7/10.

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