Two dice are thrown simultaneously, the probability of obtaining a total score of 5 is

Question

Two dice are thrown simultaneously, the probability of obtaining a total score of 5 is (A) (1/18) (B) (1/12) (C) (1/9) (D) (1/6)

Tardigrade Admin · Accepted Answer

Given two dice are thrown simultaneously. ∵ Total number of outcomes =36 Also, sum of numbers is 5, i.e. (1,4),(2,3),(3,2), (4,1) ∴ Favourable outcomes =4 ∴ Required probability =(4/36)=(1/9)

Q. Two dice are thrown simultaneously, the probability of obtaining a total score of $5$ is

$\frac{1}{18}$

$\frac{1}{12}$

$\frac{1}{9}$

$\frac{1}{6}$

Given two dice are thrown simultaneously.
$∵$ Total number of outcomes $= 36$
Also, sum of numbers is $5$ ,
i.e. ${(1, 4), (2, 3), (3, 2)$ , $(4, 1)}$
$∴$ Favourable outcomes $= 4$
$∴$ Required probability $= \frac{4}{36} = \frac{1}{9}$

Q. Two dice are thrown simultaneously, the probability of obtaining a total score of 5 is

181​

121​

91​

61​