Shyam Saraf and Abhilasha Swarup Solutions for Exercise 1: EXERCISE

A five-digit number is formed using the digits $1, 2, 3, 4$ and$5$without repetition. Find the probability that the number will be divisible by $5$.

A bag contains $40$ marble balls numbered $1$ to $40$. Find the probability that a ball selected at random has a number that is divisible by $2$ and $3$.

In a lottery, there are $20$ prizes and$50$blanks. If a carpenter purchases a lottery, what is the probability of getting a prize?

In a class, $20\%$ of the students are singers, $30\%$ are dancers, and $10\%$ are both. If a student is selected randomly, what is the probability that he/she can dance or sing?

A box contains $12$ tea sets out of which $3$ are defective. If three of the tea sets are taken out one by one at random and examined (the ones examined are not put back), then the probability that the fifth one examined is the last defective set is?

When $2$ cards are drawn from a pack of $52$ cards, what is the probability that both are kings or both are queens?

The probability of an arrangement in which three particular girls (Sita, Gita, and Renu) and five more girls can stand in a queue such that Sita stands before Gita and Gita stands before Renu is:

In shuffling a pack of cards, four cards are accidentally dropped. Find the chance that the missing cards should be one from each suit.