The probability of a student qualifying for I | vedclass

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

Question

(C) Let $A$ be the event of qualifying for $IITJEE$ and $B$ be the event of qualifying for $EAMCET$. Given: $P(A) = \frac{1}{5}$ and $P(B) = \frac{3}{

Vedclass · Accepted Answer

$\frac{17}{25}$

Vedclass · Answer

(C) Let $A$ be the event of qualifying for $IITJEE$ and $B$ be the event of qualifying for $EAMCET$. Given: $P(A) = \frac{1}{5}$ and $P(B) = \frac{3}{5}$. Assuming the events are independent, the probability of qualifying for at least one test is given by $P(A \cup B) = P(A) + P(B) - P(A \cap B)$. Since the events are independent, $P(A \cap B) = P(A) 	imes P(B) = \frac{1}{5} 	imes \frac{3}{5} = \frac{3}{25}$. Therefore, $P(A \cup B) = \frac{1}{5} + \frac{3}{5} - \frac{3}{25}$. $P(A \cup B) = \frac{5}{25} + \frac{15}{25} - \frac{3}{25} = \frac{17}{25}$.

The probability of a student qualifying for $IITJEE$ and $EAMCET$ are $\frac{1}{5}$ and $\frac{3}{5}$ respectively. The probability that the student qualifies for at least one of these tests is:

Similar Questions

The probability for a contractor to get a road contract is $\frac{2}{9}$ and to get a building contract is $\frac{5}{9}$. If the probability to get both the contracts is $\frac{1}{6}$,then what is the probability to get neither of these two contracts?

$A$ box contains $4$ white pens and $2$ black pens. Another box contains $3$ white pens and $5$ black pens. If one pen is selected from each box,then the probability that both the pens are white is equal to

There are $5$ horses in a race. Mr. $A$ selects $2$ horses at random and bets on them. What is the probability that the winning horse is among the horses selected by Mr. $A$ (in $/5$)?

The probability of happening an event $A$ is $0.5$ and that of $B$ is $0.3$. If $A$ and $B$ are mutually exclusive events,then the probability of happening neither $A$ nor $B$ is

In a simultaneous throw of three coins,what is the probability of getting at least $2$ tails?

Vedclass Test Series

Exam Paper Generator

Online Exam Module