NCERT Solutions - Mathematics , Class 10 solutions for Chapter 14 Probability

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a spade.

A die is thrown once. Find the probability of getting a prime number.

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a king of red colour.

Five cards the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. If the queen is drawn and put aside, what is the probability that the second card picked up is a queen?

A die is thrown once. Find the probability of getting a number lying between 2 and 6.

A die is thrown once. Find the probability of getting an odd number.

Five cards the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. If the queen is drawn and put aside, what is the probability that the second card picked up is an ace?

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a red face card

12 defective pens are accidentally mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a face card .

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting the jack of hearts.

Five cards the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. What is the probability that the card is the queen?

A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?

Suppose you drop a die at random on the rectangular region shown in the given figure. What is the probability that it will land inside the circle with diameter 1m?

A lot consists of 144 ball pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that she will not buy it?

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a two-digit number.

A lot consists of 144 ball pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that she will buy it?

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.

A die is thrown twice. What is the probability that 5 will come atleast once?

A die is thrown twice. What is the probability that 5 will not come up either time?

State whether the following statment is true or false.

If two coins are tossed simultaneously there are three possible outcomes—two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is 1/3

State whether the following statment is true or false.

If a die is thrown, there are two possible outcomes—an odd number or an even number. Therefore, the probability of getting an odd number is 1/2

A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Hanif wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.

A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag.

A box contains 12 balls out of which x are black. If 6 more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find x

A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is ⅔. Find the number of blue balls in the jar.

State whether the following statment is true or false.

Which of the following cannot be the probability of an event?

Probability of an event E + Probability of the event ‘not E’ = ___________.

A bag contains lemon flavored candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out an orange flavored candy?

A bag contains lemon flavored candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out an lemon flavored candy?

The probability of an event that cannot happen is . Such an event is called .

It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

The probability of an event that will surely happen is . Such an event is called .

The probability of an event is greater than or equal to and less than or equal to .

The sum of the probabilities of all the elementary events of an experiment is __________.

Does this have equally likely outcomes?

A player attempts to shoot a basketball. She/he shoots or misses the shot.

Does this have equally likely outcomes?

A driver attempts to start a car. The car starts or does not start.

Does this have equally likely outcomes?

A trial is made to solve a true-false question. The solution is right or wrong.

Is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a football game?

Does this have equally likely outcomes?

A baby is born. It is a boy or a girl.

A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be red?

A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is not red?

A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be white?

A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will not be green?

A piggy bank contains hundred 50p coins, fifty ₹1 coins, twenty ₹2 coins and ten ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will be a 50 p coin?

Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fish and 8 female fish (see Figure). What is the probability that the fish taken out is a male fish?

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (see Figure), and these are equally likely outcomes. What is the probability that it will point at an odd number?

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (see Figure), and these are equally likely outcomes. What is the probability that it will point at a number less than 9?

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (see Figure), and these are equally likely outcomes. What is the probability that it will point at a number greater than 2?

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (see Figure), and these are equally likely outcomes. What is the probability that it will point at 8?

Two coins are tossed together.

A student argues that ‘there are 11 possible outcomes for the sum of numbers on two dice: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12. Therefore, each of them has a probability 1/11. Do you agree with this argument?

A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. The bulb drawn is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?

If P(E) = 0.05, what is the probability of ‘not E’?

A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is red?

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting the queen of diamonds.

A piggy bank contains hundred 50p coins, fifty ₹1 coins, twenty ₹2 coins and ten ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will not be a ₹5 coin?

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a number divisible by 5.

Ncert solutions mathematics class 10 Solutions for Chapter 14 probability