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 multiple of $3$ as th

Vedclass · Accepted Answer

$\frac{1}{3}$

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 multiple of $3$ as the sum. The possible sums are $3, 6, 9, 12$.Sum $= 3$: $(1, 2), (2, 1)$ ($2$ outcomes)Sum $= 6$: $(1, 5), (2, 4), (3, 3), (4, 2), (5, 1)$ ($5$ outcomes)Sum $= 9$: $(3, 6), (4, 5), (5, 4), (6, 3)$ ($4$ outcomes)Sum $= 12$: $(6, 6)$ ($1$ outcome)Total favorable outcomes $n(A) = 2 + 5 + 4 + 1 = 12$.Therefore,the required probability $P(A) = \frac{n(A)}{n(S)} = \frac{12}{36} = \frac{1}{3}$.

$2$ dice are thrown. Find the probability of getting a multiple of $3$ as the sum.

Similar Questions

$A$ box contains $6$ white and $8$ red balls. Two balls are drawn at random in succession. What is the probability that one of them is white and the other red?

Two coins are tossed. What is the probability of getting at most one head?

Six cards are drawn simultaneously from a pack of playing cards. What is the probability that $3$ will be red and $3$ will be black?

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

$A$ card is drawn from a pack of $100$ cards numbered $1$ to $100$. Find the probability of drawing a number which is a square.

Vedclass Test Series

Exam Paper Generator

Online Exam Module