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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Probability

NDA 2019 · Mathematics · Probability

Two symmetric dice flipped with each dice having two sides painted...

Two symmetric dice flipped with each dice having two sides painted red, two painted black, one painted yellow and the other painted white. What is the probability that both land on the same colour?

Options

  1. A318\frac{3}{18}
  2. B29\frac{2}{9}
  3. C518\frac{5}{18}
  4. D13\frac{1}{3}

Correct answer

C. 518\frac{5}{18}

Step-by-step solution

Sides of dice =R,R,B,B,Y,W=R, R, B, B, Y, W Total events with dice =6×6=36Favourable events =2C1⋅2C1+2C1⋅2C1+1C1⋅1C1+1C1⋅1C1\begin{aligned} & \text{ Total events with dice }=6 \times 6=36 \\ & \text{Favourable events }={ }^2 \mathrm{C}_1 \cdot{ }^2 \mathrm{C}_1+{ }^2 \mathrm{C}_1 \cdot{ }^2 \mathrm{C}_1+{ }^1 \mathrm{C}_1 \cdot{ }^1 \mathrm{C}_1 \\ & +{ }^1 \mathrm{C}_1 \cdot{ }^1 \mathrm{C}_1\end{aligned}=4+4+2+2=10∴=4+4+2+2=10\therefore Probability =1036=518\frac{10}{36}=\frac{5}{18}
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