The chances of throwing a total of 3 or 5 or | vedclass

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

Question

(C) When two dice are thrown,the total number of possible outcomes is $6 	imes 6 = 36$.We need to find the favorable outcomes for getting a sum of $3

Vedclass · Accepted Answer

$\frac{2}{9}$

Vedclass · Answer

(C) When two dice are thrown,the total number of possible outcomes is $6 	imes 6 = 36$.We need to find the favorable outcomes for getting a sum of $3$,$5$,or $11$:- For a sum of $3$: The possible outcomes are $(1, 2)$ and $(2, 1)$. (Total $2$ cases)- For a sum of $5$: The possible outcomes are $(1, 4), (2, 3), (3, 2),$ and $(4, 1)$. (Total $4$ cases)- For a sum of $11$: The possible outcomes are $(5, 6)$ and $(6, 5)$. (Total $2$ cases)Total favorable outcomes $= 2 + 4 + 2 = 8$.The required probability is $\frac{	ext{Favorable outcomes}}{	ext{Total outcomes}} = \frac{8}{36} = \frac{2}{9}$.

The chances of throwing a total of $3$ or $5$ or $11$ with two dice is

Similar Questions

$A$ bag contains $6$ white,$7$ red,and $5$ black balls. If $3$ balls are drawn from the bag at random,then the probability that all of them are white is

In a lottery $50$ tickets are sold in which $14$ are prize-winning tickets. $A$ man bought $2$ tickets,then the probability that the man wins at least one prize is:

If $A$ is a sure event,then the value of $P(A^c)$ is

$A$ bag contains $6$ red,$5$ white and $4$ black balls. Two balls are drawn. The probability that none of them is red,is

$A$ card is drawn from an ordinary pack and a gambler bets that it is a spade or an ace. What are the odds against his winning the bet?

Vedclass Test Series

Exam Paper Generator

Online Exam Module