###### Advertisements

###### Advertisements

Three identical coins are tossed together. What is the probability of obtaining:

no head?

###### Advertisements

#### Solution

Total outcomes = 8

i.e. (H,H,H),(H,H,T),(H,T,H),(T,T,T),(T,H,H),(T,T,H),(H,T,T),(T,H,T)

Favourable outcome = 1 i.e. (T,T,T)

∴ P(E) = `1/8`

#### APPEARS IN

#### RELATED QUESTIONS

A die is thrown, then find the probability of the following events:

A is an Event: getting an odd number on the top upper surface of the die.

B is an Event: getting a perfect square on the upper surface of the die.

Two coins are tossed simultaneously. Write the sample space ‘S’ and the number of sample points n(S). Write the following events using set notation and mention the number of elements in each of them:-

(a) A is the event of getting at least one head.

(b) B is the event of getting exactly one head

**There are three boys and two girls. A committee of two is to be formed. Find the probability of events that the committee contains :**

a) At least one girl.

b) One boy and one girl

c) Only boys

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a card of spade or an ace.

Find the class mark of the class 35 - 39.

Two different dice are tossed together. Find the probability :

1) of getting a doublet

2) of getting a sum 10, of the numbers on the two dice.

A target shown in Fig. below consists of three concentric circles of radii, 3, 7 and 9 cm

respectively. A dart is thrown and lands on the target. What is the probability that the dart will land on the shaded region?

Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is divisible by 5

A bag contains 18 balls out of which *x* balls are red.

(i) If one ball is drawn at random from the bag, what is the probability that it is not red?

(ii) If 2 more red balls are put in the bag, the probability of drawing a red ball will be `9/8` times the probability of drawing a red ball in the first case. Find the value of *x*.

Two different dice are rolled simultaneously. Find the probability that the sum of numbers appearing on the two dice is 10 ?

Choose the correct alternative answer for the following question.

If n(A) = 2, P(A) = `1/5`, then n(S) = ?

In a hockey team, there are 6 defenders, 4 offenders, and 1 goalee. Out of these, one player is to be selected randomly as a captain. Find the probability of the selection that – The goalee will be selected.

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 red balloon

Two dice are rolled once. Find the probability of getting such numbers on the two dice, whose product is 12.

Two coins are tossed simultaneously. Find the probability of getting at least one head.

In a class of 42 students in Model High School, 3 students use spectacles.

Fill in the following boxes to find the probability of a students selected

at random is wearing sepctacles.

The total number of students in the class is 42.

∴n(S) = ...... ,

Let the event, a student uses spectacles, be A.

∴ n(A) = ...........

∴ P(A) = ............ ∴ P(A) = ............

A piggy bank contains hundred 50 paise coins, fifity ₹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, find the probability that the coin which fell will be of value less than ₹5

A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is a multiple of 5

In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green. One card is drawn from the bag at random. Find the probability that it has the figure of green colour

All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is a card of clubs.

Cards each marked with one of the numbers 4, 5, 6, ..., 20 are placed in a box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting an even number?

One card is drawn from a well shuffled deck of 52 playing cards. What is the probability of getting a non-face card?

If \[\bar{E}\] denote the complement or negation of an even E, what is the value of P(E) + P(\[\bar{E}\]) ?

The probability of an impossible event is

If a die is rolled, what is the probability that number appearing on upper face is less than 2?

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

A coin is tossed once. What is the probability of getting a tail?

A jar contains 24 marbles. Some of these are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is `2/3`. Find the number of blue marbles in the jar.

A bag contains 4 red and 6 black balls. A ball is taken out of the bag at random. What is the probability of getting a black ball?

A coin is tossed 800 times and the outcomes were noted as: Head:415 ,Tail:385

Find the probabiity of the min showing up (i)a head ,(ii) a tai .

Two coins are tossed together . what is the probabilty of getting different faces on the coins ?

Two dice are rolled simultaneously, write down the total number of possible outcomes.

A box contains a certain number of balls. On each of 60% balls, letter A is marked. On each of 30% balls, letter B is marked and on each of remaining balls, letter C is marked. A ball is drawn from the box at random. Find the probability that the ball drawn is:

i. marked C

ii. A or B

iii. neither B nor C

A box contains a certain number of balls. Some of these balls are marked A, some are marked B and the remaining are marked C. When a ball is drawn at random from the box P(A) = `1/3` and P(B) =`1/4`. If there are 40 balls in the box which are marked C, find the number of balls in the box.

Basketball players John, Vasim, Akash were practising the ball drop in the basket. The probabilities of success for John, Vasim and Akash are `4 /5`, 0.83 and 58% respectively. Who had the greatest probability of success ?

Basketball players John, Vasim, Akash were practising the ball drop in the basket. The probabilities of success for John, Vasim and Akash are`4/5` , 0.83 and 58% respectively. Who had the greatest probability of success ?

In a hockey team there are 6 defenders, 4 offenders and 1 goalee. Out of these, one player is to be selected randomly as a captain. Find the probability of the selection that – A defender will be selected.

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.

**Two dice are thrown. Find the probability of the following events:**

Event A : The product of the numbers on their upper faces is 10.

Event B : The sum of the numbers on their upper faces is 10

By using two variables, write the following statement in mathematical form:

The cost of two tables and five chairs is 2,200.

A die is thrown, then find the probability of the following events:

A is an event: getting a perfect square.

B is an event: getting a prime number.

A game consists of tossing a coin 3 times and noting the outcome each time. If getting the same result in all the tosses is a success, find the probability of losing the game.

A die is thrown once. Find the probability of getting.

(a) a prime number.

(b) an odd number

**A die is thrown, find the probability of getting:**

a number greater than 4

A die is thrown, find the probability of getting:

a number not greater than 4.

A coin is tossed. What is the probability of getting:

a head?

A coin is tossed twice. Find the probability of getting: two heads

In a single throw of a die, find the probability of getting a number

(i) greater than 2

(ii) less than or equal to 2

(iii) not greater than 2.

A bag contains 3 white, 5 black, and 2 red balls, all of the same shape and size.

A ball is drawn from the bag without looking into it, find the probability that the ball is drawn is:

a black ball.

A bag contains 3 white, 5 black, and 2 red balls, all of the same shape and size.

A ball is drawn from the bag without looking into it, find the probability that the ball is drawn is:

a red ball.

A bag contains 3 white, 5 black, and 2 red balls, all of the same shape and size.

A ball is drawn from the bag without looking into it, find the probability that the ball is drawn is:

not a red ball.

Three identical coins are tossed together. What is the probability of obtaining:

all heads?

A book contains 92 pages. A page is chosen at random. What is the probability that the sum of the digits in the page number is 9?

Two coins are tossed together. What is the probability of getting:

(i) at least one head

(ii) both heads or both tails.

From 10 identical cards, numbered 1, 2, 3, ……, 10, one card is drawn at random. Find the probability that the number on the card drawn is a multiple of

3

Two coins are tossed together. Find the probability of getting: at most one head:

A die is thrown once. Find the probability of getting:

a number other than 3 and 5

Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is: 12

A coin is tossed once. Find the probability of getting a head

A coin is tossed once. Find the probability of not getting a head

You are walking along a street. If you just choose a stranger crossing you, what is the probability that his next birthday will fall on a Sunday?

What is the probability of throwing an even number with a single standard dice of six faces?

There are 24 balls in a pot. If 3 of them are Red, 5 of them are Blue and the remaining are Green then, what is the probability of picking out a Blue ball?

There are 24 balls in a pot. If 3 of them are Red, 5 of them are Blue and the remaining are Green then, what is the probability of picking out a Green ball?

When two coins are tossed, what is the probability that two heads are obtained?

Two dice are rolled, find the probability that the sum is equal to 1

Two dice are rolled, find the probability that the sum is equal to 4

Two dice are rolled, find the probability that the sum is less than 13

A manufacturer tested 7000 LED lights at random and found that 25 of them were defective. If a LED light is selected at random, what is the probability that the selected LED light is a defective one

Frame two problems in calculating probability, based on the spinner shown here.

If the probability of an event is P, the probability of its complimentary event will be ______.

Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table and knocked out one button on the floor. What is the probability that the button on the floor is blue?

In the experiment of tossing a coin one time, the outcome is either ______ or ______.

Getting a prime number on throwing a die is an event.

Using the following frequency table, answer question 65 - 68

Marks (obtained out of 10) | 4 | 5 | 7 | 8 | 9 | 10 |

Frequency | 5 | 10 | 8 | 6 | 12 | 9 |

If a pair of coins is tossed, then the number of outcomes are 2.

One or more outcomes of an experiment make an event.

In a throw of a dice, the probability of getting an even number is the same as that of getting an odd number.

A dice is rolled once. What is the probability that the number on top will be greater than 5

A dice is rolled once. What is the probability that the number on top will be a factor of 36

Ritwik draws a ball from a bag that contains white and yellow balls. The probability of choosing a white ball is `2/9`. If the total number of balls in the bag is 36, find the number of yellow balls.

At a Birthday Party, the children spin a wheel to get a gift. Find the probability of getting a toy car

A bag contains 25 cards, numbered through 1 to 25. A card is drawn at random. What is the probability that the number on the card drawn is multiple of 5?

A bag contains 25 cards, numbered through 1 to 25. A card is drawn at random. What is the probability that the number on the card drawn is a perfect square?

A bag contains 25 cards, numbered through 1 to 25. A card is drawn at random. What is the probability that the number on the card drawn is a prime number?