One of the two events must occur. If the chan | vedclass

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

Question

(D) Let $p$ be the probability of the other event. Then the probability of the first event is $\frac{2}{3}p$.Since one of the two events must occur an

Vedclass · Accepted Answer

$3:2$

Vedclass · Answer

(D) Let $p$ be the probability of the other event. Then the probability of the first event is $\frac{2}{3}p$.Since one of the two events must occur and they are mutually exclusive,the sum of their probabilities must be $1$.Therefore,$p + \frac{2}{3}p = 1$.Solving for $p$: $\frac{5}{3}p = 1 \Rightarrow p = \frac{3}{5}$.The probability of the first event is $1 - \frac{3}{5} = \frac{2}{5}$.The odds in favour of the other event are given by the ratio of its probability to the probability of its complement (the first event).Odds in favour = $p : (1 - p) = \frac{3}{5} : \frac{2}{5} = 3 : 2$.

One of the two events must occur. If the chance of one is $\frac{2}{3}$ of the other,then the odds in favour of the other are

Similar Questions

$A$ bag contains $30$ balls numbered from $1$ to $30$. One ball is drawn randomly. The probability that the number on the ball is a multiple of $5$ or $7$ is

$A$ draws two cards with replacement from a pack of $52$ cards and $B$ throws a pair of dice. What is the chance that $A$ gets both cards of the same suit and $B$ gets a total of $6$?

$1$ bag contains $4$ white and $2$ black balls. Another bag contains $3$ white and $5$ black balls. If $1$ ball is drawn from each bag,find the probability that $1$ ball is white and $1$ ball is black.

Seven chits are numbered $1$ to $7$. Three are drawn one by one with replacement. The probability that the least number on any selected chit is $5$,is

The probability of an impossible event,i.e.,$P(\phi)$,is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module