Two dice are thrown together. The probability | vedclass

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

Question

(C) When two dice are thrown,the total number of outcomes is $6 	imes 6 = 36$. Let $E$ be the event that the sum of the numbers on the two dice is a

Vedclass · Accepted Answer

$\frac{1}{4}$

Vedclass · Answer

(C) When two dice are thrown,the total number of outcomes is $6 	imes 6 = 36$. Let $E$ be the event that the sum of the numbers on the two dice is a multiple of $4$. The possible sums that are multiples of $4$ are $4, 8, 12$. The outcomes for sum $= 4$ are $(1, 3), (2, 2), (3, 1)$. The outcomes for sum $= 8$ are $(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)$. The outcomes for sum $= 12$ are $(6, 6)$. The total number of favorable outcomes is $3 + 5 + 1 = 9$. Therefore,the probability $P(E) = \frac{9}{36} = \frac{1}{4}$.

Two dice are thrown together. The probability that the sum of the two numbers will be a multiple of $4$ is

Similar Questions

$A$ card is selected from a pack of $52$ cards. Calculate the probability that the card is a black card.

$A$ card is selected from a pack of $52$ cards. Calculate the probability that the card is an ace.

Let $X$ be a set containing $n$ elements. If two subsets $A$ and $B$ of $X$ are chosen at random,what is the probability that $A$ and $B$ have the same number of elements?

$A$ card is selected from a pack of $52$ cards. Calculate the probability that the card is an ace of spades.

Each of the two boxes $P$ and $Q$ contain $100$ chits numbered from $1$ to $100$. If one chit is drawn at random from each box, then the probability that the number on the chit drawn from $P$ is the square of the number on the chit drawn from $Q$, is (in $\%$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module