Three dice are thrown simultaneously. What is | vedclass

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

Question

(C) The total number of outcomes when three dice are thrown is $6 	imes 6 	imes 6 = 216$.$A$ total of $17$ can be obtained in the following ways: $(

Vedclass · Accepted Answer

$\frac{1}{54}$

Vedclass · Answer

(C) The total number of outcomes when three dice are thrown is $6 	imes 6 	imes 6 = 216$.$A$ total of $17$ can be obtained in the following ways: $(5, 6, 6), (6, 5, 6), (6, 6, 5)$. There are $3$ such outcomes.$A$ total of $18$ can be obtained in the following way: $(6, 6, 6)$. There is $1$ such outcome.The total number of favorable outcomes is $3 + 1 = 4$.Therefore,the required probability is $P = \frac{4}{216} = \frac{1}{54}$.

Three dice are thrown simultaneously. What is the probability of obtaining a total of $17$ or $18$?

Similar Questions

If a die is thrown twice,what is the probability of getting $4$ at least once?

Two dice are thrown. The probability that the sum of the points on two dice will be $7$ is:

$A$ card is selected from a pack of $52$ cards. Calculate the probability that the card is an ace of spades.

$A$ man alternately tosses a coin and throws a dice,beginning with the coin. The probability that he gets a head in the coin before he gets a $5$ or $6$ in the dice is

Events $E$ and $F$ are such that $P(\text{not } E \text{ and not } F) = 0.25$. State whether $E$ and $F$ are mutually exclusive.

Vedclass Test Series

Exam Paper Generator

Online Exam Module