Ram is visiting a friend. Ram knows that his | vedclass

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

Question

(C) Let $B$ denote a boy and $G$ denote a girl. The possible outcomes for $2$ children are $\{BB, BG, GB, GG\}$, where each outcome is equally likely

Vedclass · Accepted Answer

$2 / 3$

Vedclass · Answer

(C) Let $B$ denote a boy and $G$ denote a girl. The possible outcomes for $2$ children are $\{BB, BG, GB, GG\}$, where each outcome is equally likely with probability $1/4$. Given that at least $1$ child is a boy, the sample space reduces to $S = \{BB, BG, GB\}$. The total number of outcomes in the reduced sample space is $n(S) = 3$. We want to find the probability that the other child is a girl, which corresponds to the outcomes where there is exactly $1$ boy and $1$ girl. These outcomes are $\{BG, GB\}$. The number of favourable outcomes is $n(E) = 2$. Therefore, the required probability is $P(E) = \frac{n(E)}{n(S)} = \frac{2}{3}$.

Ram is visiting a friend. Ram knows that his friend has $2$ children and $1$ of them is a boy. Assuming that a child is equally likely to be a boy or a girl, then the probability that the other child is a girl, is

Similar Questions

Solve the differential equation given below:
$\frac{x dy}{dx} = y + \sqrt{x^2 + y^2}$

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

The general solution of the differential equation $\frac{dy}{dx} = \frac{2x+y-3}{2y-x+3}$ is

Show that the differential equation $(x-y) \frac{dy}{dx} = x+2y$ is homogeneous and solve it.

The general solution of the differential equation $\frac{dy}{dx} = \frac{x+2y-3}{2x+y-3}$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module