Two balanced dice are rolled. Find the probab | vedclass

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

Question

(C) When two balanced dice are rolled,the total number of possible outcomes is $6 	imes 6 = 36$.Let $S$ be the sum of the numbers on the two dice. Th

Vedclass · Accepted Answer

$\frac{7}{36}$

Vedclass · Answer

(C) When two balanced dice are rolled,the total number of possible outcomes is $6 	imes 6 = 36$.Let $S$ be the sum of the numbers on the two dice. The possible values for $S$ range from $2$ to $12$.The multiples of $5$ in this range are $5$ and $10$.We identify the pairs $(d_1, d_2)$ that result in these sums:For $S = 5$: $(1, 4), (2, 3), (3, 2), (4, 1)$ (Total $4$ outcomes).For $S = 10$: $(4, 6), (5, 5), (6, 4)$ (Total $3$ outcomes).The total number of favorable outcomes is $4 + 3 = 7$.Therefore,the probability $P = \frac{	ext{Favorable outcomes}}{	ext{Total outcomes}} = \frac{7}{36}$.

Two balanced dice are rolled. Find the probability that the sum of numbers on two dice is a multiple of $5$.

Similar Questions

Three balanced coins are tossed simultaneously. Find the probability of receiving at least two heads.

Two balanced dice are rolled simultaneously. Then,the probability that the sum of numbers on the dice is $8$ is ........

Two balanced dice are rolled. Find the probability that the numbers on two dice are equal.

Two balanced dice are rolled simultaneously. Then,the probability that the numbers appearing on both the dice are different is ........

An unbiased coin is tossed thrice. Find the probability of the following event:
$A:$ Exactly $2$ heads are received.

Vedclass Test Series

Exam Paper Generator

Online Exam Module