The chance of throwing a total of 7 or 12 wit | vedclass

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

Question

(D) Total number of possible outcomes when rolling $2$ dice is $6 	imes 6 = 36$.For the sum to be $7$,the favorable outcomes are $(1, 6), (2, 5), (3,

Vedclass · Accepted Answer

$\frac{7}{36}$

Vedclass · Answer

(D) Total number of possible outcomes when rolling $2$ dice is $6 	imes 6 = 36$.For the sum to be $7$,the favorable outcomes are $(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)$. There are $6$ such outcomes.For the sum to be $12$,the only favorable outcome is $(6, 6)$. There is $1$ such outcome.Since these are mutually exclusive events,the total probability is the sum of the individual probabilities:$P(7 	ext{ or } 12) = P(7) + P(12) = \frac{6}{36} + \frac{1}{36} = \frac{7}{36}$.

The chance of throwing a total of $7$ or $12$ with $2$ dice is:

Similar Questions

$A$ bag contains $6$ red,$4$ white and $8$ blue balls. If three balls are drawn at random,then the probability that $2$ are white and $1$ is red,is

$A$ lot consists of $12$ good pencils,$6$ with minor defects,and $2$ with major defects. $A$ pencil is chosen at random. The probability that this pencil is not defective is

Two dice are thrown simultaneously. The probability of getting the sum $2$,$8$,or $12$ is

In a single throw of $3$ dice,find the probability of getting a total of at least $5$.

If the probabilities of a boy and a girl being born are the same,then in a $4$ children family,the probability of having at least one girl is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module