Question

In a throw of a pair of dice, the probability of getting a doublet is :

• A. $\frac{1}{2}$
• B. $\frac{1}{3}$
• C. $\frac{1}{6}$
• D. $\frac{5}{6}$

Answer 1

The correct option is C $\frac{1}{6}$

Doublet in a pair of dice can be:-

$(1,1)(2,2)(3,3)(4,4)(5,5)(6,6)$

and total no. of outcomes when two dice are thrown are:-

$(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)$

$(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)$

$(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)$

$(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)$

$(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)$

$(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)$

Total outcome $=36$

Outcome of doublet$=6$

$\therefore$ Probability$=\frac{6}{36}$

$=\frac{1}{6}$