If two dice are thrown simultaneously,then th | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) When two dice are thrown,the total number of possible outcomes is $6 	imes 6 = 36$.Let $S$ be the sum of the numbers on the two dice. We want to

Vedclass · Accepted Answer

$13/18$

Vedclass · Answer

(D) When two dice are thrown,the total number of possible outcomes is $6 	imes 6 = 36$.Let $S$ be the sum of the numbers on the two dice. We want to find the probability that $S > 5$.It is easier to calculate the complement: the probability that $S \leq 5$.The outcomes where $S \leq 5$ are:$S=2: (1,1)$$S=3: (1,2), (2,1)$$S=4: (1,3), (2,2), (3,1)$$S=5: (1,4), (2,3), (3,2), (4,1)$Total outcomes where $S \leq 5$ is $1 + 2 + 3 + 4 = 10$.Therefore,the number of outcomes where $S > 5$ is $36 - 10 = 26$.The required probability is $P(S > 5) = \frac{26}{36} = \frac{13}{18}$.

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

Similar Questions

There are $3$ families,each having $1$ boy and $1$ girl. If one child is selected from each family,what are the elements of the event that only girls are selected?

$A$ coin is tossed and a dice is rolled. The probability that the coin shows the head and the dice shows $6$ is

$A$ rational number is selected at random from the distinct rational numbers of the form $p/q$ formed with $p$ and $q$ belonging to the set $\{1, 2, 3, 4, 5, 6\}$. The probability that the rational number selected is a proper fraction is:

Two fair dice are rolled. The probability of the sum of digits on their faces being greater than or equal to $10$ is

Two dice are thrown. If the first die shows $5$,what is the probability that the sum of the numbers on both dice is $8$ or more than $8$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module