Class 10 Maths- ProbabilityContact Number: 9667591930 / 8527521718

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What is probability that a non-leap year has 53 Sundays?

1. $\frac{6}{7}$

2. $\frac{1}{7}$

3. $\frac{5}{7}$

4. $\frac{2}{7}$

A number is selected at random from the integers 1 to 100. What is the probability that it will be a multiple of 4 or 6?

1. $\frac{8}{35}$

2. $\frac{33}{100}$

3. $\frac{17}{50}$

4. $\frac{41}{100}$

Two numbers are selected at once from the set of integers 1 to 20. Find the probability that the product of the numbers will be 24.

1. $\frac{3}{190}$

2. $\frac{3}{380}$

3. $\frac{4}{95}$

4. $\frac{3}{95}$

An urn contains 4 red and 6 green balls. A ball is selected at random from the urn and is replaced back into the urn. Now a ball is drawn again from the bag. What is the probability that the first ball is a red ball and the second is a green ball?

1. $\frac{6}{25}$

2. $\frac{8}{25}$

3. $\frac{5}{6}$

4. $\frac{4}{15}$

A box contains 5 apples, 6 oranges and 'x' bananas. If the probability of selecting an apple from the box is $\frac{1}{3}$, then the number of bananas in the box is __________.

1. 4

2. 6

3. 8

4. 5

Two dice are rolled simultaneously. Find the probability that they show different faces.

1. $\frac{2}{3}$

2. $\frac{1}{6}$

3. $\frac{1}{3}$

4. $\frac{5}{6}$

A number is selected from the first 50 numbers. What is the probability that it is a multiple of 3 or 5?

1. $\frac{13}{25}$

2. $\frac{21}{50}$

3. $\frac{12}{25}$

4. $\frac{23}{50}$

Two numbers are selected from the set of integers 1 to 25. What is the probability that the product of the number will be 36?

1. $\frac{1}{200}$

2. $\frac{1}{100}$

3. $\frac{1}{50}$

4. $\frac{1}{75}$

Tom sold 100 lottery tickets in which 5 tickets carry prizes. If jerry purchased a ticket, what is the probability of Jerry winning a prize?

1. $\frac{19}{20}$

2. $\frac{1}{25}$

3. $\frac{1}{20}$

4. $\frac{17}{20}$

When two coins are tossed together, what is the probability that neither of them shows up head?

1. $\frac{1}{3}$

2. $\frac{1}{2}$

3. 0

4. $\frac{1}{4}$

When two cards are drawn from a well-shuffled pack of cards, what is the probability that both will be aces?

1. $\frac{1}{221}$

2. $\frac{2}{221}$

3. $\frac{1}{13}$

4. $\frac{1}{231}$

Two cards are drawn from a pack of cards one after another so that the first card is replaced before drawing the second card. What is the probability that the first card is an ace and the second is a number card?

1. $\frac{9}{169}$

2. $\frac{1}{52}$

3. $\frac{1}{4}$

4. $\frac{17}{52}$

Two numbers 'a' and 'b' are selected (successively without replacement in that order) from the integers 1 to 10. What is the probability that $\frac{a}{b}$ will be an integer?

1. $\frac{17}{45}$

2. $\frac{1}{5}$

3. $\frac{19}{90}$

4. $\frac{8}{45}$

There are 4 different mathematics books, 5 different physical science books and 3 different biological science books on a shelf. What is the probability of selecting a mathematics book from the shelf?

1. $\frac{1}{3}$

2. $\frac{1}{2}$

3. $\frac{1}{4}$

4. $\frac{49}{100}$

A 3-digit number is to be formed using the digits 3, 4, 7, 8 and 2 without repetition. What is the probability that it is an odd number?

1. $\frac{2}{5}$

2. $\frac{1}{5}$

3. $\frac{4}{5}$

4. $\frac{3}{5}$

Two cards are dwrawn from a pack, what is the probability that the two cards are of different colours

1. $\frac{8}{17}$

2. $\frac{1}{12}$

3. $\frac{26}{51}$

4. $\frac{27}{52}$

Two numbers 'a' and 'b' are selected successively one aftre another without replacement from the integer 1 to 15. What is the probability that $\frac{a}{b}$ will be an integer?

1. $\frac{5}{7}$

2. $\frac{3}{7}$

3. $\frac{2}{7}$

4. $\frac{1}{7}$

A card is drawn at random from a pack of cards. What is the probability that it is a face card of spades?

1. $\frac{1}{13}$

2. $\frac{1}{26}$

3. $\frac{3}{52}$

4. $\frac{3}{13}$

Two number are selected simultaneously from the first 20 natural numbers. what is the probability that the sum of the number is odd?

1. $\frac{10}{19}$

2. $\frac{1}{19}$

3. $\frac{1}{10}$

4. $\frac{19}{20}$

Two dice are together, what is the probability that the total score on the two dice is greater than 10?

1. $\frac{5}{6}$

2. $\frac{1}{4}$

3. $\frac{1}{6}$

4. $\frac{1}{12}$

Two numbers are selected from the simultaneously from the first 25 natural numbers, What is the probability that the sum of the numbers is even?

1. $\frac{6}{25}$

2. $\frac{12}{25}$

3. $\frac{4}{25}$

4. $\frac{8}{25}$

A bag cotains 7 red and 7 black coloured balls. A person drawn two balls from the bag, what is the probability that the two balls are the same in colour?

1. $\frac{6}{13}$

2. $\frac{2}{7}$

3. $\frac{4}{13}$

4. $\frac{1}{13}$

Two dice are rolled together, what is the probability that the total score on the two dice is a prime number?

1. $\frac{5}{12}$

2. $\frac{1}{3}$

3. $\frac{1}{2}$

4. $\frac{13}{36}$

A committee of 4 persons is to be performed from 6 men and 4 women. What is the probability that the committee consists of the equal number of men and women?

1. $\frac{4}{7}$

2. $\frac{3}{7}$

3. $\frac{1}{7}$

4. $\frac{6}{7}$

All cards in an ordinary deck of 52 cards are numbered from 1 to 52. If a card is drawn at random from the deck, then what is the probability that it will have a prime number?

1. $\frac{7}{26}$

2. $\frac{15}{52}$

3. $\frac{5}{17}$

4. $\frac{4}{13}$

A bag contains 5 pens and 6 pencils. If a boy selects 2 articles from the bag, then what is the probability that they selected articles will be a pen and a pencil?

1. $\frac{2}{11}$

2. $\frac{3}{11}$

3. $\frac{6}{11}$

4. $\frac{5}{11}$

An urn conatiains 5 red, 3 black and 2 white. If three balls are choosen at random, then what is the probability that they will be of different colours?

1. $\frac{1}{4}$

2. $\frac{3}{4}$

3. $\frac{1}{2}$

4. $\frac{5}{6}$

What is the probability that a leap year has 52 Mondays?

1. $\frac{2}{7}$

2. $\frac{4}{7}$

3. $\frac{5}{7}$

4. $\frac{6}{7}$

If a letter is selected at random from the letters of the word FOUNDATION, what is the probability of the letter selected being a repeated letter?

1. $\frac{1}{10}$

2. $\frac{1}{5}$

3. $\frac{2}{5}$

4. $\frac{1}{2}$

Sunny and Bunny go to an ice cream parlor where they find 5 different varieties of ice cream. If they order one ice cream each, what is the probability that they both order the same variety of ice creams?

1. $\frac{1}{5}$

2. $\frac{4}{5}$

3. $\frac{1}{2}$

4. $\frac{1}{10}$

There are five Rs. 1 coins, two Rs. 2 coins and three Rs. 5 coins. If two coins are selected simultaneously at random, what is the probability of yielding the maximum amount?

1. $\frac{3}{10}$

2. $\frac{1}{5}$

3. $\frac{1}{15}$

4. $\frac{3}{10}$

A dice is rolled twice, what is the probability that the two dice show a different number?

1. $\frac{2}{3}$

2. $\frac{1}{6}$

3. $\frac{5}{6}$

4. $\frac{1}{2}$

A bag contains 3, red, 5 blue and 7 green colored balls. Find the probability of selecting a blue ball from the bag.

1. $\frac{3}{15}$

2. $\frac{1}{3}$

3. $\frac{1}{4}$

4. $\frac{2}{3}$

7 coins are tossed simultaneously, what is the probability of getting atleast two heads?

1. $\frac{3}{18}$

2. $\frac{15}{16}$

3. $\frac{1}{16}$

4. $\frac{3}{16}$

A bag contains 5 white balls and 6 green balls. Two balls are drawn from the bag one after another, what is the probability that both the balls are white? (the first ball is replaced before drawing the second ball)

1. $\frac{2}{11}$

2. $\frac{1}{11}$

3. $\frac{3}{121}$

4. $\frac{25}{121}$

A basket conatins 12 friuts, of which 7 are not rotten. When one fruit is drawn at random, the probability that it is a rotten fruit is ____________.

1. $\frac{1}{3}$

2. $\frac{7}{12}$

3. $\frac{5}{12}$

4. $\frac{2}{3}$

One card is selected from a well shuffled pack of card, what is the probability that it is a red honored card?

1. $\frac{2}{13}$

2. $\frac{3}{13}$

3. $\frac{11}{13}$

4. $\frac{9}{13}$

A bag contains 5 black balls, and 7 green balls. Two balls are drawn simultaneously at random, what is the probability that both are different in colour?

1. $\frac{17}{33}$

2. $\frac{35}{132}$

3. $\frac{5}{66}$

4. $\frac{35}{66}$

The probability that the month of April has exactly 5 Mondays is______.

1. $\frac{4}{7}$

2. $\frac{5}{7}$

3. $\frac{3}{7}$

4. $\frac{2}{7}$

Hundred cards marked with numbers 1 to 100 are placed in a box. If a card is selected randomly from the box, then the probability that the number on the card selected will be a perfect square is

1. $\frac{1}{100}$

2. $\frac{1}{25}$

3. $\frac{1}{10}$

4. $\frac{9}{10}$

20 cards are numbered 1 to 20. If a card is selected at a random, then what is the probability that the selected number will be an odd prime?

1. $\frac{2}{5}$

2. $\frac{3}{5}$

3. $\frac{3}{10}$

4. $\frac{7}{20}$

A 4-digit number is formed by using the digits 1, 2, 5, 6, and 8 without repetition. What is the probability that it will be an even number?

1. $\frac{3}{5}$

2. $\frac{2}{5}$

3. $\frac{1}{2}$

4. $\frac{3}{10}$

A basket contains 10 fruits of which 3 are rotten. If one fruit is drawn from the basket, then the probability that the fruit drawn is not rotten is____.

1. $\frac{4}{5}$

2. $\frac{4}{5}$

3. $\frac{7}{10}$

4. $\frac{3}{10}$

An urn contains 6 blue and 'a' green balls. If the probability of drawing a green ball is double that of drawing a blue ball, then 'a' is equal to________.

1. 6

2. 18

3. 24

4. 12

A card is drawn from a well-shuffled pack of cards. What is the probability that it will be a black queen?

1. $\frac{1}{52}$

2. $\frac{1}{13}$

3. $\frac{1}{26}$

4. $\frac{1}{32}$

A box contains 30 balls. Among them 10 are black, 12 are blue and the rest are orange. What is the probability that a ball drawn from the box will not be blue?

1. $\frac{1}{3}$

2. $\frac{3}{5}$

3. $\frac{5}{6}$

4. $\frac{1}{6}$

When a unbiased dice is thrown, the probability of getting a prime number is

1. $\frac{1}{3}$

2. $\frac{1}{2}$

3. $\frac{1}{4}$

4. $\frac{2}{3}$

If a letter is selected at random from the letters of the word TRIANGLE, then what is the probability that it will be a constant?

1. $\frac{2}{7}$

2. $\frac{3}{8}$

3. $\frac{5}{8}$

4. $\frac{1}{8}$

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