A dice is rolled two times. Find the probability of getting a composite number on first roll and a prime number on second roll?

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SSC GD Previous Paper 27 (Held On: 6 March 2019 Shift 1)_English
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  1. \(\frac{1}{2}\)
  2. \(\frac{1}{6}\)
  3. \(\frac{1}{9}\)
  4. \(\frac{1}{4}\)

Answer (Detailed Solution Below)

Option 2 : \(\frac{1}{6}\)
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Detailed Solution

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Calculation

Number of composite number in a dice are  (4 and 6)

⇒ Probabilty of composite number in a dice = 2/6 = 1/3

⇒ Number of prime number in a dice = 2, 3 and 5

⇒ Probability of prime number in a dice = 3/6 = 1/2

∴The probability of getting a composite number on the first roll and a prime number on the second roll = 1/2 × 1/3 = 1/6

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