One card is drawn from a well-shuffled deck of 52 cards. Calculate the probability, that the card will not be an ace

The deck has 52 cards. Thus, if a card is drawn at random, then the total possible outcomes = 52 In the deck of cards, there are 4 ace cards. and there 48 cards which are not ace. Thus, the total number of favourable outcomes for getting a card as ace = 48 We know that Probability of an event, P = The number of favourable outcomes Total number of possible outcomes . Thus, P card other than ace = The number of favourable outcomes Total number of possible outcomes = 48 52 = 12 13 Therefore, required probability is 12 13

One card is drawn from a well-shuffled deck of 52 cards. Calculate the probability, that the card will be an ace

The deck has 52 cards. Thus, if a card is drawn at random, then the total possible outcomes = 52 In the deck of cards, there are 4 ace cards. Thus, the total number of favourable outcomes for getting a card as ace = 4 We know that Probability of an event, P = The number of favourable outcomes Total number of possible outcomes . Thus, P card will be an ace = The number of favourable outcomes Total number of possible outcomes = 4 52 = 1 13 Therefore, the probability that the card drawn is an ace is 1 13 .

A box contains 3 blue, 2 white and 4 red marbles. If a marble is drawn at random from the box, what is the probability that will be a Red

The total number of marbles in the box = 3 + 2 + 4 = 9 Thus, here the total possible outcomes = 9 Now, number of marbles which are red = 4 Thus, the total number of favourable outcomes for getting a red marble = 4 Thus, in this case, we have, the required probability, P getting a red marble = The number of favourable outcomes Total number of possible outcomes = 4 9 Therefore, 4 9 is the required answer.

A box contains 3 blue, 2 white and 4 red marbles. If a marble is drawn at random from the box, what is the probability that will be a Blue

The total number of marbles in the box = 3 + 2 + 4 = 9 Thus, here the total possible outcomes = 9 Now, number of marbles which are blue = 3 Thus, the total number of favourable outcomes for getting a blue marble = 3 Thus, in this case, we have, the required probability, P getting a blue marble = The number of favourable outcomes Total number of possible outcomes = 3 9 Therefore, 1 3 is the required answer.

A box contains 3 blue, 2 white and 4 red marbles. If a marble is drawn at random from the box, what is the probability that will be a White

The total number of marbles in the box = 3 + 2 + 4 = 9 Thus, here the total possible outcomes = 9 Now, number of marbles which are white = 2 Thus, the total number of favourable outcomes for getting a white marble = 2 Thus, in this case, we have, the required probability, P getting a white marble = The number of favourable outcomes Total number of possible outcomes = 2 9 Therefore, 2 9 is the required answer.

E M B I B E

Mathematics 10 : Part II>Chapter NA - Solved Examples>Exercise 2>Q 1

EASY

10th Karnataka Board

IMPORTANT

Earn 100

Look at the graphs in Fig. 2.9 given below. Each is the graph of $y = p (x)$ , where $p (x)$ is a polynomial. For each of the graphs, find the number of zeroes of $p (x)$ .

Important Questions on Solved Examples

MEDIUM

10th Karnataka Board

IMPORTANT

Mathematics 10 : Part II>Chapter NA - Solved Examples>Exercise 2>Q 2

Find the zeroes of the quadratic polynomial

x^{2} + 7 x + 10

, and verify the relationship between the zeroes and the coefficients.

EASY

10th Karnataka Board

IMPORTANT

Mathematics 10 : Part II>Chapter NA - Solved Examples>Exercise 2>Q 3

Find the zeroes of the polynomial

x^{2} - 3

and verify the relationship between the zeroes and the coefficients.

EASY

10th Karnataka Board

IMPORTANT

Mathematics 10 : Part II>Chapter NA - Solved Examples>Exercise 2>Q 4

Find a quadratic polynomial, the sum and product of whose zeroes are

- 3

and

2

, respectively.

EASY

10th Karnataka Board

IMPORTANT

Mathematics 10 : Part II>Chapter NA - Solved Examples>Exercise 2>Q 5

Verify that

3, - 1, - \frac{1}{3}

are the zeroes of the cubic polynomial

p (x) = 3 x^{3} - 5 x^{2} - 11 x - 3

, and then verify the relationship between the zeroes and the coefficients.

MEDIUM

10th Karnataka Board

IMPORTANT

Mathematics 10 : Part II>Chapter NA - Solved Examples>Exercise 4>Q 1

Represent the following situation mathematically:
John and Jivanti together have

45

marbles. Both of them lost

5

marbles each, and the product of the number of marbles they now have is

124

. We would like to find out how many marbles they had to start with.

MEDIUM

10th Karnataka Board

IMPORTANT

Mathematics 10 : Part II>Chapter NA - Solved Examples>Exercise 4>Q 2

Represent the following situation mathematically:
A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be