Questions

In a bag, there are 3 balls each of colour red, white and black. If a ball is drawn.

1. Find the probability of getting a white ball and a black ball
2. Find the probability of getting either red or white ball.
3. Find the probability of getting either black or red ball.
4. Find the probability of getting neither red nor black ball.

From number cards written from 1 to 25 one card is chosen at random. Find the following probabilities of getting

1. Multiples of 4 or multiples of 7.
2. Odd or multiples of 4.
3. Even or multiples of 5.
4. Composite numbers or prime numbers greater than 10.

A card is drawn from a well-shuffled pack of 52 cards. Find the probability of getting the following cards. 

1. Queen or king
2. Face card or ace
3. Black or diamond
4. Red or club

Three coins are tossed together.

1. Define the addition law of probability for mutually exclusive events.
2. Draw a tree diagram to represent the possible outcomes.
3. Write the sample space.

Find the probability of getting the following events:

1. All heads
2. Two heads 
3. One head
4. At least three heads
5. Same kind

Two unbiased coins are tossed simultaneously.

1. Define independent event in probability.
2. Draw a probability tree diagram of the experiment.
3. Write the sample space.
4. Find the probability of getting two heads.
5. Find the probability of getting at least one head.
6. Find the probability of getting at most one head.
7. Find the probability of getting the same events.

An unbiased die is thrown. Find the probability of getting the following event.

1. Define mutually exclusive events.
2. A number 3 or 4.
3. A number between 3 and 6.
4. Odd number or even number.
5. If the dice is thrown twice, then find the probability of getting both the prime numbers.

A bag contains 9 red and 6 blue balls of the same shape and size.

1. State the multiplication law of probability.
2. Two balls are drawn randomly one after another with replacement. Show the probabilities of all events of getting red or blue balls in a tree diagram.
3. Find the probability of getting the first ball red and the second ball blue without replacement.
4. What is the difference between the probability of both balls being blue if two balls are drawn one after the other with replacement or without replacement?

A bag contains 3 red and 2 blue balls of the same shape and size.

1. State the addition law of probability.
2. Two balls are drawn randomly one after another with replacement. Show the probabilities of all events of getting red or blue balls in a tree diagram.
3. Find the probability of getting the first ball red and the second ball blue without replacement.
4. What is the difference between the probability of both balls being blue if two balls are drawn one after the other with replacement or without replacement?

A colorless and odorless water-soluble gas reacts with ammonia at high temperatures to form a nitrogen fertilizer, i.e., urea. Suggest two other applications of the same gas. Also, draw a well-labelled diagram to demonstrate the laboratory preparation of that gas.

What will happen when lime water reacts with carbon dioxide? Write a balanced chemical equation.