In a hostel,60 % of the students read Hindi n | vedclass

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

Question

(A) Let $H$ denote the set of students who read Hindi newspaper and $E$ denote the set of students who read English newspaper.Given that:$P(H) = 60 \%

Vedclass · Accepted Answer

$1/5$

Vedclass · Answer

(A) Let $H$ denote the set of students who read Hindi newspaper and $E$ denote the set of students who read English newspaper.Given that:$P(H) = 60 \% = 0.60$$P(E) = 40 \% = 0.40$$P(H \cap E) = 20 \% = 0.20$The probability that a student reads at least one of the two newspapers is given by the addition theorem:$P(H \cup E) = P(H) + P(E) - P(H \cap E)$$P(H \cup E) = 0.60 + 0.40 - 0.20 = 0.80$The probability that a student reads neither Hindi nor English newspaper is the complement of $P(H \cup E)$:$P((H \cup E)') = 1 - P(H \cup E)$$P((H \cup E)') = 1 - 0.80 = 0.20$Converting to fraction:$0.20 = \frac{20}{100} = \frac{1}{5}$

In a hostel,$60 \%$ of the students read Hindi newspaper,$40 \%$ read English newspaper and $20 \%$ read both Hindi and English newspapers. $A$ student is selected at random. Find the probability that she reads neither Hindi nor English newspapers.

Similar Questions

Let $S$ be the set of the first $11$ natural numbers. Then the number of elements in $A = \{B \subseteq S : n(B) \ge 2 \text{ and the product of all elements of } B \text{ is even}\}$ is . . . . . . .

In a group of students,$100$ students know Hindi,$50$ know English,and $25$ know both. Each student knows either Hindi or English. How many students are there in the group?

Out of $500$ car owners investigated,$400$ owned car $A$ and $200$ owned car $B$,and $50$ owned both car $A$ and car $B$. Is this data correct?

The number of integers from $1$ to $1000$ which are divisible by $2$ or $3$ is

In a class of $100$ students,$55$ students have passed in Mathematics and $67$ students have passed in Physics. Then the number of students who have passed in Physics only is

Vedclass Test Series

Exam Paper Generator

Online Exam Module