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Probability — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsProbability1 Mark
MCQ
Two dice are thrown together. The probabililty of getting the same number on both dice is:
  • A
    $\frac{1}{2}$
  • B
    $\frac{1}{3}$
  • ✓
    $\frac{1}{6}$
  • D
    $\frac{1}{12}$
✓

Answer

Correct option: C.
$\frac{1}{6}$
The number on each die are 1, 2, 3, 4, 5 and 6.
So, the total possibilities are:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
So, there are 36 number in toral.
There are 6 possibilities when the two die
have the same number (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6).
P(getting the same number on both the die)
$=\frac{6}{36}$
$=\frac{1}{6}$

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