Two balanced dice are rolled simultaneously. | vedclass

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

Question

(D) The total number of possible outcomes when two dice are rolled is $6 	imes 6 = 36$.The product of the numbers on the two dice is odd if and only

Vedclass · Accepted Answer

$\frac{3}{4}$

Vedclass · Answer

(D) The total number of possible outcomes when two dice are rolled is $6 	imes 6 = 36$.The product of the numbers on the two dice is odd if and only if both numbers are odd. The odd numbers on a die are ${1, 3, 5}$.The number of outcomes where both dice show an odd number is $3 	imes 3 = 9$. These outcomes are $(1,1), (1,3), (1,5), (3,1), (3,3), (3,5), (5,1), (5,3), (5,5)$.The product is even in all other cases. Therefore,the number of favorable outcomes is $36 - 9 = 27$.The probability that the product is even is $\frac{27}{36} = \frac{3}{4}$.

Two balanced dice are rolled simultaneously. The probability that the product of numbers on two dice is even is ......

Similar Questions

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

$A$ balanced die is thrown once. Find the probability of getting a number smaller than $4$.

Someone is asked to take a number from $1$ to $100$. The probability that it is a prime number is

Two balanced dice are rolled. Find the probability that the sum of numbers on two dice is smaller than $7$.

There are chits numbered $1$ to $20$ in a box. One chit is drawn at random. Find the probability that the number on the chit is a prime number.

Vedclass Test Series

Exam Paper Generator

Online Exam Module