2 dice are thrown. Find the probability of ge | vedclass

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

Question

(B) When $2$ dice are thrown,the total number of possible outcomes is $n(S) = 6 	imes 6 = 36$.Let $A$ be the event of getting a product that is a per

Vedclass · Accepted Answer

$\frac{2}{9}$

Vedclass · Answer

(B) When $2$ dice are thrown,the total number of possible outcomes is $n(S) = 6 	imes 6 = 36$.Let $A$ be the event of getting a product that is a perfect square.The pairs $(x, y)$ such that $x 	imes y$ is a perfect square are:$(1, 1) ightarrow 1 	imes 1 = 1 = 1^2$$(1, 4) ightarrow 1 	imes 4 = 4 = 2^2$$(2, 2) ightarrow 2 	imes 2 = 4 = 2^2$$(3, 3) ightarrow 3 	imes 3 = 9 = 3^2$$(4, 1) ightarrow 4 	imes 1 = 4 = 2^2$$(4, 4) ightarrow 4 	imes 4 = 16 = 4^2$$(5, 5) ightarrow 5 	imes 5 = 25 = 5^2$$(6, 6) ightarrow 6 	imes 6 = 36 = 6^2$Thus,the set of favorable outcomes is $A = \{(1, 1), (1, 4), (2, 2), (3, 3), (4, 1), (4, 4), (5, 5), (6, 6)\}$.The number of favorable outcomes is $n(A) = 8$.The probability $P(A) = \frac{n(A)}{n(S)} = \frac{8}{36} = \frac{2}{9}$.

$2$ dice are thrown. Find the probability of getting the product as a perfect square (square of a natural number).

Similar Questions

Study the given information carefully to answer the question that follows. An urn contains $4$ green,$5$ blue,$2$ red,and $3$ yellow marbles. If $4$ marbles are drawn at random,what is the probability that $2$ are blue and $2$ are red?

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

From a pack of $52$ cards,$4$ cards are drawn. What is the probability that it has two digit-cards and one honours card of black suit and one honours card of red suit?

$A$ box contains $3$ white and $2$ red balls. $A$ ball is drawn and another ball is drawn without replacing the first ball. Then,the probability of the second ball being red is:

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module