Maharashtra Board Solutions for Chapter: Probability, Exercise 5: Problem Set

A balloon vendor has $2$ red, $3$ blue and $4$ green balloons. He wants to choose one of them at random to give it to Pranali. What is the probability of the event that Pranali gets a green  balloon.

A bag contains $3$ red, $3$ white and $3$ green balls. One ball is taken out of the bag at random. What is the probability that the ball drawn is either red or white?

Each card bears one letter from the word $\text{'}\mathrm{MATHEMATICS}\text{'}$. The cards are placed on a table upside down. Find the probability that a card drawn bears the letter $\text{'}\mathrm{M}\text{'}$.

Out of $200$ students from a school, $135$ like Kabaddi and the remaining students do not like the game. If one student is selected at random from all the students, find the probability that the student selected doesn't like Kabaddi.

A two-digit number is to be formed from the digits $0, 1, 2, 3, 4$. Repetition of the digits is allowed. Find the probability that the number so formed is a prime number.

A two-digit number is to be formed from the digits $0, 1, 2, 3, 4$. Repetition of the digits is allowed. Find the probability that the number so formed is a multiple of $4$.

A two-digit number is to be formed from the digits $0, 1, 2, 3, 4$. Repetition of the digits is allowed. Find the probability that the number so formed is a multiple of $11$.

The faces of a dice bear numbers $0, 1, 2, 3, 4, 5$. If the dice is rolled twice, then find the probability that the product of digits on the upper face is zero.