In a single throw of 3 dice,find the probabil | vedclass

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

Question

(C) The total number of possible outcomes when throwing $3$ dice is $6 	imes 6 	imes 6 = 216$.We need to find the number of outcomes where the sum o

Vedclass · Accepted Answer

$\frac{1}{36}$

Vedclass · Answer

(C) The total number of possible outcomes when throwing $3$ dice is $6 	imes 6 	imes 6 = 216$.We need to find the number of outcomes where the sum of the numbers on the $3$ dice is $5$.The possible combinations are:$(1, 1, 3)$ which can be arranged in $3$ ways: $(1, 1, 3), (1, 3, 1), (3, 1, 1)$.$(1, 2, 2)$ which can be arranged in $3$ ways: $(1, 2, 2), (2, 1, 2), (2, 2, 1)$.Total favorable outcomes $= 3 + 3 = 6$.Therefore,the probability $P = \frac{	ext{Number of favorable outcomes}}{	ext{Total number of outcomes}} = \frac{6}{216} = \frac{1}{36}$.

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

Similar Questions

$4$ coins are tossed once. Find the probability of getting exactly $3$ tails.

$A$ six-faced die is biased such that it is twice as likely to show an even number as an odd number when thrown. If it is thrown twice, what is the probability that the sum of the two numbers obtained is even?

The letters of the word $SOCIETY$ are placed in a row. What is the probability that the three vowels come together?

The probability that an event will fail to happen is $0.05$. The probability that the event will take place on $4$ consecutive occasions is

$2$ dice are rolled together. What is the probability that the sum of the $2$ numbers is divisible by $3$ or by $4$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module