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Probability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsProbability1 Mark
Question
Choose the correct answer from the given four options.
Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6, the probability of getting a sum 3, is:
  1. $\frac{1}{18}$
  2. $\frac{5}{18}$
  3. $\frac{1}{5}$
  4. $\frac{2}{5}$
✓

Answer

  1. $\frac{1}{5}$

Solution:

Let E1 = Event that the sum of numbers on the dice was less than 6

And E2 = Event that the sum of numbers on the dice is 3.

$\therefore$ E1 = {(1, 4), (4, 1), (2, 3), (3, 2), (2, 2), (1, 3), (3, 1), (1, 2), (2, 1), (1, 1)}

⇒ n(E1) = 10

And E2 = {(1, 2), (2, 1)}

⇒ n(E2) = 2

$\therefore$ Required Probability $=\frac{2}{10}=\frac{1}{5}$

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