A die is thrown twice. Let A be the event of | vedclass

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

Question

(A) When a die is thrown twice,the total number of outcomes is $6 	imes 6 = 36$. Event $A$ is getting a prime number on the first throw. The prime nu

Vedclass · Accepted Answer

$\frac{1}{2}$

Vedclass · Answer

(A) When a die is thrown twice,the total number of outcomes is $6 	imes 6 = 36$. Event $A$ is getting a prime number on the first throw. The prime numbers on a die are ${2, 3, 5}$. So,$P(A) = \frac{3}{6} = \frac{1}{2}$. Event $B$ is getting an even number on the second throw. The even numbers on a die are ${2, 4, 6}$. So,$P(B) = \frac{3}{6} = \frac{1}{2}$. Event $\overline{B}$ is the complement of $B$,which means getting an odd number on the second throw. The odd numbers are ${1, 3, 5}$. So,$P(\overline{B}) = 1 - P(B) = 1 - \frac{1}{2} = \frac{1}{2}$. Since the two throws are independent events,the occurrence of $A$ does not depend on the occurrence of $\overline{B}$. Therefore,$P(A / \overline{B}) = P(A) = \frac{1}{2}$.

$A$ die is thrown twice. Let $A$ be the event of getting a prime number when the die is thrown first time and $B$ be the event of getting an even number when the die is thrown second time. Then $P(A / \overline{B})=$

Similar Questions

The general solution of the differential equation $(3xy+y^2) dx + (x^2+xy) dy = 0$ is

Suppose that $f(x, y)$ and $g(x, y)$ are homogeneous functions of the same order. If $x=Vy$ reduces the equation $\frac{dy}{dx}=\frac{f(x, y)}{g(x, y)}$ to the form $\frac{dV}{dy}=\frac{1}{y}(F(V))$,then $F(V)=$

The solution of the differential equation $\frac{dy}{dx} = -\left(\frac{x^2+3y^2}{3x^2+y^2}\right)$,$y(1)=0$ is

The general solution of the differential equation $(x \sin \frac{y}{x}) dy = (y \sin \frac{y}{x} - x) dx$ is

The solution of the equation $\frac{dy}{dx} = \frac{x + y}{x - y}$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module