What is the probability that a randomly thrown dart hits the square board in shaded region
(Take `π = (22)/(7)` and express in percentage)

Find the probability of the dart hitting the board in the circular region B (i.e. ring B).

Without calculating, write the percentage of probability of the dart hitting the board in circular region C (i.e. ring C).

In an entrance test that is graded of the basis of two examination, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing atleast one of them is 0.95. What is the probability of passing both?

25% of the inhabitnts in a large town are bespectacled. What is the probability that a randomly selected group of 6 inhabitants will include at most 2 bespectacled pesons?

An anti-aircraft gun can take a maximum of four shots at an enemy plane moving away from it. The probabilities of hitting the plane at the first, second, third and fourth shot are 0.4, 0.3, 0.2 and 0.1 respectively. What is the probability that the gun hits the plane ?

If 4-digit numbers greater than 5,000 are randomly formed from the digits 0, 1,3, 5, and 7, what is the probability of forming a number divided by 5 when, (i) the digits are repeated? (ii) the repeition of digits is not allowed?

In a school, there are 1000 students, out of which 430 are girls. It is known that out of 430, 10% of the girls study in class XII. What is the probability that a student chosen randomly studies in class XII, given that the chosen student is a girl ?

A person goes to office either by car, scooter, bus or train probability of which being 1/7, 3/7, 2/7 and 1/7 respectively. Probability that he reaches office late, if he takes car, scooter, bus or train is 2/9, 1/9, 4/9 and 1/9 respectively. Given that he reached office in time, then what is the probability that he travelled by a car?