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Mathematics

When a die is cast with numbering on its faces, as shown, the ratio of the probability of getting a composite number to the probability of getting a prime number is …………… .

  1. 2 : 3

  2. 3 : 2

  3. 1 : 3

  4. 1 : 2

When a die is cast with numbering on its faces, as shown, the ratio of the probability of getting a composite number to the probability of getting a prime number is . Maths Competency Focused Practice Questions Class 10 Solutions.

Probability

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Answer

From numbers 1 to 6

Prime numbers = 2, 3, 5.

Composite numbers = 4, 6.

Probability of getting a prime number = No. of prime numbersNo. of possible outcomes=36=12\dfrac{\text{No. of prime numbers}}{\text{No. of possible outcomes}} = \dfrac{3}{6} = \dfrac{1}{2}.

Probability of getting a composite number

= No. of composite numbersNo. of possible outcomes=26=13\dfrac{\text{No. of composite numbers}}{\text{No. of possible outcomes}} = \dfrac{2}{6} = \dfrac{1}{3}.

Probability of getting a composite number to probability of getting a prime number = 13:12\dfrac{1}{3} : \dfrac{1}{2} = 2 : 3.

Hence, Option 1 is the correct option.

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