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Probability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsProbability1 Mark
Question
A four-digit number is formed by using the digits 1, 2, 4, 8 and 9 without repitition. If one number is selected from those numbers, then what is the probability that it will be an odd number?
  1. $\frac15$
  2. $\frac25$
  3. $\frac35$
  4. $\frac45$
✓

Answer

  1. $\frac25$

Solution:

Total number of outcomes = 5 × 4 × 3 × 2 = 120

The number of favourable cases = 2(4 × 3 × 2) = 48 (i.e., odd numbers)

Therefore,

Required probability $\frac{48}{120}=\frac25$

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