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PUC Science कक्षा ११ - Karnataka Board PUC Question Bank Solutions

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A box contains 6 red marbles numbered 1 through 6 and 4 white marbles numbered from 12 through 15. Find the probability that a marble drawn is red or even numbered.

[14] Probability
Chapter: [14] Probability
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Fill in the blank in the table:

P (A) P (B) P (A ∩ B) P(A∪ B)
\[\frac{1}{3}\] \[\frac{1}{5}\] \[\frac{1}{15}\] ......
[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

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Fill in the blank in the table:

P (A) P (B) P (A ∩ B) P(A∪ B)
0.35 .... 0.25 0.6
[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

Fill in the blank in the table:

P (A) P (B) P (A ∩ B) P(A∪ B)
0.5 0.35 ..... 0.7
[14] Probability
Chapter: [14] Probability
Concept: undefined >> undefined

If and B are two events associated with a random experiment such that P(A) = 0.3, P (B) = 0.4 and P (A ∪ B) = 0.5, find P (A ∩ B).

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

If A and B are two events associated with a random experiment such that
P(A) = 0.5, P(B) = 0.3 and P (A ∩ B) = 0.2, find P (A ∪ B).

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

If A and B are two events associated with a random experiment such that
P (A ∪ B) = 0.8, P (A ∩ B) = 0.3 and P \[(\bar{A} )\]= 0.5, find P(B).

 

[14] Probability
Chapter: [14] Probability
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There are three events ABC one of which must and only one can happen, the odds are 8 to 3 against A, 5 to 2 against B, find the odds against C

[14] Probability
Chapter: [14] Probability
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One of the two events must happen. Given that the chance of one is two-third of the other, find the odds in favour of the other.

[14] Probability
Chapter: [14] Probability
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A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of its being a spade or a king.

[14] Probability
Chapter: [14] Probability
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In a single throw of two dice, find the probability that neither a doublet nor a total of 9 will appear.

[14] Probability
Chapter: [14] Probability
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A card is drawn from a deck of 52 cards. Find the probability of getting an ace or a spade card.

[14] Probability
Chapter: [14] Probability
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The probability that a student will pass the final examination in both English and Hindi is 0.5 and the probability of passing neither is 0.1. If the probability of passing the English Examination is 0.75. What is the probability of passing the Hindi Examination?

[14] Probability
Chapter: [14] Probability
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100 students appeared for two examination, 60 passed the first, 50 passed the second and 30 passed both. Find the probability that a student selected at random has passed at least one examination.

[14] Probability
Chapter: [14] Probability
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In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing at least one of them is 0.95. What is the probability of passing both?

[14] Probability
Chapter: [14] Probability
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Find the probability of getting 2 or 3 tails when a coin is tossed four times.

 
[14] Probability
Chapter: [14] Probability
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One of the two events must occur. If the chance of one is 2/3 of the other, then odds in favour of the other are

[14] Probability
Chapter: [14] Probability
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The probability that a leap year will have 53 Fridays or 53 Saturdays is

[14] Probability
Chapter: [14] Probability
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A person write 4 letters and addresses 4 envelopes. If the letters are placed in the envelopes at random, then the probability that all letters are not placed in the right envelopes, is

[14] Probability
Chapter: [14] Probability
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A and B are two events such that P (A) = 0.25 and P (B) = 0.50. The probability of both happening together is 0.14. The probability of both A and B not happening is

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