Sarvesh K Verma Solutions for Chapter: Probability, Exercise 2: Introductory Exercise

From a well shuffled pack of $52$ cards, a card is drawn at random. Find the probability that the drawn card is a king or a queen.

A natural number is chosen at random from amongst the first $300.$ What is the probability that the number, so chosen is divisible by $3$ or $5 ?$

A natural number is chosen at random from the first $100$ natural numbers. What is the probability that the number chosen is a multiple of $2$ or $3$ or $5 ?$

A box contains $5$ red balls, $8$ green balls and $10$ pink balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?

A basket contains $10$apples and $20$ oranges out of which $3$ apples and $5$ oranges are defective. If we choose two fruits at random, what is the probability that either both are oranges or both are non-defective?

In a class $40\%$ of the students offered Physics, $20\%$ offered Chemistry and $5\%$ offered both. If a student is selected at random, find the probability that he has offered Physics or Chemistry only.

The probability that an MBA aspirant will join IIM is $\frac{2}{5}$ and that he will join XLRI is $\frac{1}{3}$. Find the probability that he will join IIM or XLRI.

In a given race, the odds in favour of horses ${\mathrm{H}}_1, {\mathrm{H}}_2, {\mathrm{H}}_3$ and ${\mathrm{H}}_4$ are $1 : 2, 1 : 3, 1 : 4, 1 : 5$ respectively. Find the probability that one of them wins the race