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NDA 2023

Exam: NDA
Year: 2023
Subject: Mathematics
Chapter: Probability

NDA 2023 · Mathematics · Probability

Two dice are thrown. What is the probability that difference of...

Two dice are thrown. What is the probability that difference of number on them is 2 or 3 ?

Options

A $\frac{7}{36}$
B $\frac{7}{18}$
C $\frac{5}{18}$
D $\frac{11}{36}$

Correct answer

B. $\frac{7}{18}$

Step-by-step solution

When difference is 2 then

\{(1,3),(2,4),(3,5),(4,6),(3,1),(4,2),(5,3),(6,4)\}

When the difference is 3 then

\{(1,4),(2,5),(3,6),(4,1),(5,2),(6,3)\}

So, required probability

=\frac{14}{36}=\frac{7}{18}

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