Question 1 :
A bag contains a red ball, a blue ball and a yellow ball, all the balls being of the same size. Kritika takes out a ball from the bag without looking into it. What is the probability that she takes out the yellow ball?
Question 2 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bef273b230584979a47.PNG' />
In the above image, suppose you drop a die at random on the rectangular region shown. What is the probability that it will land inside the circle with diameter 1m?
Question 3 :
One card is drawn from a well-shuffled deck of 52 cards. Calculate the probability that the card will be an ace.
Question 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bf4273b230584979a4c.PNG' />
A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two thrones then what is the probability that the total score is at least 6?
Question 5 :
Probability of an event E + Probability of the event ‘not E’ =
Question 6 :
A die is thrown twice. What is the probability that 5 will not come up either time?
Question 7 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bed273b230584979a44.PNG' />
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, and these are equally likely outcomes. What is the probability that it will point at a number less than 9?
Question 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bee273b230584979a45.PNG' />
A child has a die whose six faces show the letters as given above. The die is thrown once. What is the probability of getting A?
Question 9 :
Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on consecutive days?
Question 10 :
A die is thrown once. Find the probability of getting a number lying between 2 and 6.
Question 11 :
Two dice, one blue and one grey, are thrown at the same time. Write down all the possible outcomes. What is the probability that the sum of the two numbers appearing on the top of the dice is 13?
Question 12 :
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.
Question 13 :
The sum of the probabilities of all the elementary events of an experiment is
Question 14 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19a5c273b23058497992c.PNG' />
In the above image, 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, and these are equally likely outcomes. What is the probability that it will point at a number lesss than 9?
Question 15 :
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 ofherwise. Calculate the probability that Hanif will lose the game.
Question 16 :
Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on the same day?
Question 18 :
State True or False whether the following quadratic equation has two distinct real roots: $2x^2-6x+\frac{9}{2}=0$
Question 20 :
At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the present age of Asha.
Question 21 :
Find the discriminant of the equation $3x^2 – 2x +\frac{1}{3} = 0$.
Question 22 :
Justify why the following quadratic equation has two distinct real roots: $\sqrt{2}x^2-\frac{3}{\sqrt{2}}x+\frac{1}{\sqrt{2}}=0$
Question 26 :
Find the roots of the following quadratic equation (by the factorisation method): $3\sqrt{2}x^2-5x-\sqrt{2}=0$
Question 27 :
Check whether the following is quadratic equation : (2x- 1)(x -3)=(x +5)(x -1)
Question 28 :
Is the following situation possible? If so, determine their present ages.The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.
Question 30 :
The square of any positive integer cannot be of the form 5q + 2 or 5q + 3 for any integer q. Is it true?
Question 31 :
Every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q + 1, where q is some integer. TRUE or FALSE ?
Question 32 :
Without actually performing the long division, state whether $\frac{129}{2^25^77^5}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.
Question 33 :
Without actually performing the long division, state whether $\frac{6}{15}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.
Question 34 :
State true or false: Let p be a prime number. If p divides $a^{2}$, then p divides a, where a is a positive integer.
Question 35 :
Choose the correct answer from the given four options in the question: If two positive integers p and q can be expressed as $p = ab^2$ and $ q = a^3$ b; a, b being prime numbers, then LCM (p, q) is _____ .
Question 37 :
Without actually performing the long division, state whether $\frac{64}{455}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.
