Two unbiased dice are thrown once. Write all | vedclass

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

Question

(A) When two unbiased dice are thrown,the total number of possible outcomes is $6 	imes 6 = 36$. The sample space $S$ is given by:$S = \{(1,1), (1,2)

Vedclass · Accepted Answer

$\frac{1}{36}$

Vedclass · Answer

(A) When two unbiased dice are thrown,the total number of possible outcomes is $6 	imes 6 = 36$. The sample space $S$ is given by:$S = \{(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)\}$We need the sum of the numbers on the two dice to be a multiple of both $3$ and $4$. The least common multiple of $3$ and $4$ is $12$. Thus,we are looking for outcomes where the sum is $12$.The only outcome where the sum is $12$ is $(6,6)$.Number of favorable outcomes $= 1$.Probability $P(E) = \frac{	ext{Number of favorable outcomes}}{	ext{Total number of outcomes}} = \frac{1}{36}$.

Two unbiased dice are thrown once. Write all the possible outcomes of this experiment. What is the probability that the sum of the numbers on the two dice is a multiple of $3$ and $4$?

Similar Questions

Two balanced dice are rolled. Find the probability that the sum of numbers on two dice is even.

Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is
$(i) \, 6$
$(ii) \, 12$
$(iii) \, 7$

In a shop, there are $50$ packets of tea out of which $5$ are under-weight. One packet is selected at random from the lot. Find the probability that an under-weight packet is selected.

$I$ toss three coins together. The possible outcomes are no heads,$1$ head,$2$ heads and $3$ heads. So,$I$ say that probability of no heads is $\frac{1}{4}$. What is wrong with this conclusion?

There are $5$ white, $7$ red, $4$ black, and $2$ blue identical balls in a box. One ball is selected at random from the box. Find the probability that the ball is either black or white.

Vedclass Test Series

Exam Paper Generator

Online Exam Module