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

For two events $A$ and $B$,if $P(A) = P(A|B) = \frac{1}{4}$ and $P(B|A) = \frac{1}{2}$,then

In a box,there are $8$ red,$7$ blue and $6$ green balls. One ball is picked up at random. What is the probability that it is neither red nor green?

If $A$ and $B$ are two independent events,then $A$ and $\bar B$ are

$10$ coins are tossed. What is the probability that exactly $5$ heads appear?

$A$ bag contains $13$ white and $7$ black balls. $2$ balls are drawn at random. What is the probability that they are of the same colour?

Vedclass Test Series

Exam Paper Generator

Online Exam Module