If two dice are thrown simultaneously, then the probability that the sum of the numbers which come up on the dice to be more than 5 is .

Question

If two dice are thrown simultaneously, then the probability that the sum of the numbers which come up on the dice to be more than 5 is . (A) (5/36) (B) (1/6) (C) (5/18) (D) (7/18)

Tardigrade Admin · Accepted Answer

Total number of sample space, n(S)=6 × 6=36 Let E= Event of getting maximum sum of two dices is 5 = (1,1),(1,2),(2,1),(1,3),(3,1),(2,2) (1,3),(3,1),(1,4),(4,1),(2,3),(3,2) ∴ n(E)=12 ∴ Probability (the maximum sum of two dices is 5 ) =(n(E)/n(S))=(12/36)=(5/3) ∴ Probability (the sum of two dices is more than 5 ) =1- Probability (the sum of two dices is 5 ) =1-(1/3)=(2/3)

Q. If two dice are thrown simultaneously, then the probability that the sum of the numbers which come up on the dice to be more than $5$ is ____ .

$\frac{5}{36}$

$\frac{1}{6}$

$\frac{5}{18}$

$\frac{7}{18}$

$\frac{13}{18}$

Q. If two dice are thrown simultaneously, then the probability that the sum of the numbers which come up on the dice to be more than 5 is ____ .

365​

61​

185​

187​