A bag contains 30 balls numbered from 1 to 30 | vedclass

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

Question

(B) Total number of balls $= 30$.Let $A$ be the set of numbers that are multiples of $5$ between $1$ and $30$:$A = \{5, 10, 15, 20, 25, 30\}$,so $n(A)

Vedclass · Accepted Answer

$\frac{1}{3}$

Vedclass · Answer

(B) Total number of balls $= 30$.Let $A$ be the set of numbers that are multiples of $5$ between $1$ and $30$:$A = \{5, 10, 15, 20, 25, 30\}$,so $n(A) = 6$.Let $B$ be the set of numbers that are multiples of $7$ between $1$ and $30$:$B = \{7, 14, 21, 28\}$,so $n(B) = 4$.The intersection $A \cap B$ contains numbers that are multiples of both $5$ and $7$ (i.e.,multiples of $35$):$A \cap B = \emptyset$,so $n(A \cap B) = 0$.The number of favorable outcomes is $n(A \cup B) = n(A) + n(B) - n(A \cap B) = 6 + 4 - 0 = 10$.The probability $P(A \cup B) = \frac{n(A \cup B)}{	ext{Total outcomes}} = \frac{10}{30} = \frac{1}{3}$.

$A$ 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:

Similar Questions

If $S$ and $T$ are two sets such that $S$ has $21$ elements,$T$ has $32$ elements,and $S \cap T$ has $11$ elements,how many elements does $S \cup T$ have?

In a certain school,$74 \%$ of students like cricket,$76 \%$ of students like football,and $82 \%$ of students like tennis. Then,all three sports are liked by at least $...... \%$ of students.

Let $A = \{1, 6, 11, 16, \dots\}$ and $B = \{9, 16, 23, 30, \dots\}$ be the sets consisting of the first $2025$ terms of two arithmetic progressions. Then $n(A \cup B)$ 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