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If A and B are events such that P(A) = 0.2, P(B) = 0.4 and P(A U B) = 0.5, then value of P(A/B) is
Given: P(A) = 0.2 P(B) = 0.4 P(A ∪ B) = 0.5 Using the formula: P(A ∪ B) = P(A) + P(B) - P(A ∩ B) Substituting the values: 0.5 = 0.2 + 0.4 - P(A ∩ B) 0.5 = 0.6 - P(A ∩ B) P(A ∩ B) = 0.1 Now, using the conditional probability formula: P(A | B) = P(A ∩ B) / P(B) P(A | B) = 0.1 / 0.4 P(A | B) = 0.25 SoRead more
Given:
P(A) = 0.2
P(B) = 0.4
P(A ∪ B) = 0.5
Using the formula:
P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
Substituting the values:
0.5 = 0.2 + 0.4 – P(A ∩ B)
0.5 = 0.6 – P(A ∩ B)
P(A ∩ B) = 0.1
Now, using the conditional probability formula:
P(A | B) = P(A ∩ B) / P(B)
P(A | B) = 0.1 / 0.4
P(A | B) = 0.25
So the correct answer is 0.25
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If A and B are two independent events, then
As follows from the definition, if events A and B are independent, the correct statement is: - A and B are independent For independent events, the conditional probability P(A | B) = P(A), and P(B | A) = P(B), because the occurrence of one event does not affect the probability of the other. The stateRead more
As follows from the definition, if events A and B are independent, the correct statement is:
– A and B are independent
For independent events, the conditional probability P(A | B) = P(A), and P(B | A) = P(B), because the occurrence of one event does not affect the probability of the other.
The statement “P(A | B) + P(A | B) = 1” is wrong and does not generally hold.
Therefore, the right answer is A and B are independent.
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Choose the incorrect statement:
(d) Rutherford model only established that the nucleus is positively charged. https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-4/
(d) Rutherford model only established that the nucleus is positively charged.
https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-4/
See lessThe chemical formula of a molecular compound is determined by
(d) We use valency of the element to determine the molecular formula of a compound. The valencies are crossed to obtain the formula. https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-3/
(d) We use valency of the element to determine the molecular formula of a compound. The valencies are crossed to obtain the formula.
https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-3/
See lessThe number of neutrons in sodium and magnesium is
(a) Sodium and magnesium both contain 12 neutrons each. https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-4/
(a) Sodium and magnesium both contain 12 neutrons each.
https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-4/
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