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PUC Science इयत्ता ११ - Karnataka Board PUC Question Bank Solutions for Mathematics

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Mathematics
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Two unbiased dice are thrown. Find the probability that  neither a doublet nor a total of 8 will appear

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

Two unbiased dice are thrown. Find the probability that the sum of the numbers obtained on the two dice is neither a multiple of 2 nor a multiple of 3

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

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A bag contains 8 red, 3 white and 9 blue balls. If three balls are drawn at random, determine the probability that all the three balls are blue balls 

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

A bag contains 8 red, 3 white and 9 blue balls. If three balls are drawn at random, determine the probability that  all the balls are of different colours.

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

A bag contains 5 red, 6 white and 7 black balls. Two balls are drawn at random. What is the probability that both balls are red or both are black?

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

If a letter is chosen at random from the English alphabet, find the probability that the letter is  a vowel .

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

If a letter is chosen at random from the English alphabet, find the probability that the letter is a consonant .

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

In a lottery, a person chooses six different numbers at random from 1 to 20, and if these six numbers match with six number already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game?

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

Which of the cannot be valid assignment of probability for elementary events or outcomes of sample space S =  {w1w2w3w4w5w6w7}:

Elementary events: w1 w2 w3 w4 w5 w6 w7
(i) 0.1 0.01 0.05 0.03 0.01 0.2 0.6
[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

Which of the cannot be valid assignment of probability for elementary events or outcomes of sample space S =  {w1w2w3w4w5w6w7}:

Elementary events: w1 w2 w3 w4 w5 w6 w7
(ii)
\[\frac{1}{7}\]
\[\frac{1}{7}\]
\[\frac{1}{7}\]
\[\frac{1}{7}\]
\[\frac{1}{7}\]
\[\frac{1}{7}\]
\[\frac{1}{7}\]
[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

Which of the cannot be valid assignment of probability for elementary events or outcomes of sample space S =  {w1w2w3w4w5w6w7}:

Elementary events: w1 w2 w3 w4 w5 w6 w7
(iii) 0.7 0.06 0.05 0.04 0.03 0.2 0.1
[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

Which of the cannot be valid assignment of probability for elementary events or outcomes of sample space S =  {w1w2w3w4w5w6w7}:

Elementary events: w1 w2 w3 w4 w5 w6 w7
(iv)
\[\frac{1}{14}\]
\[\frac{2}{14}\]
\[\frac{3}{14}\]
\[\frac{4}{14}\]
\[\frac{5}{14}\]
\[\frac{6}{14}\]
\[\frac{15}{14}\]
[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

In a single throw of three dice, find the probability of getting the same number on all the three dice.

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

A box contains 100 bulbs, 20 of which are defective. 10 bulbs are selected for inspection. Find the probability that: all 10 are defective

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

A box contains 100 bulbs, 20 of which are defective. 10 bulbs are selected for inspection. Find the probability that all 10 are good

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

A box contains 100 bulbs, 20 of which are defective. 10 bulbs are selected for inspection. Find the probability thatat least one is defective

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

A box contains 100 bulbs, 20 of which are defective. 10 bulbs are selected for inspection. Find the probability that none is defective

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

Two dice are thrown together. The probability that neither they show equal digits nor the sum of their digits is 9 will be

[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

Let A = {1, 2, 3} and B = {3, 4}. Find A × B and show it graphically.

[2] Relations and Functions
Chapter: [2] Relations and Functions
Concept: undefined >> undefined

Find the square root of the following complex number:

−5 + 12i

[4] Complex Numbers and Quadratic Equations
Chapter: [4] Complex Numbers and Quadratic Equations
Concept: undefined >> undefined
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