There are two urns: Urn 1 contains 4 white, 6 black; Urn 2 contains 5 white, 5 black. An urn is chosen at random and a ball drawn. If it is white, probability it came from Urn 1 is: MCQ with Answer and Explanation

Question
There are two urns: Urn 1 contains 4 white, 6 black; Urn 2 contains 5 white, 5 black. An urn is chosen at random and a ball drawn. If it is white, probability it came from Urn 1 is:
A. 4/9
B. 5/9
C. 1/2
D. 2/5
Answer: Option A
Solution (By JKSSB Mock Tests)
P(Urn1|W) = (1/2 * 4/10) / (1/2*4/10 + 1/2*5/10) = 0.2 / (0.2+0.25)=0.2/0.45=4/9.
This question belongs to: Accountancy and Statistics Statistics
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Practice More Statistics Questions

Question #1
Which of the following is a valid probability value?
A. -0.2
B. 0.75
C. 2
D. 1.5
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Correct Answer: Option B

Explanation:
Probability must lie between 0 and 1 inclusive. 0.75 is valid.
This question belongs to: Accountancy and Statistics Statistics
Question #2
A researcher wants to compare mortality between two towns with different age structures. She should use:
A. Standardized death rate
B. Infant mortality rate
C. Crude death rate
D. Neonatal mortality rate
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Correct Answer: Option A

Explanation:
Standardization removes the confounding effect of age.
This question belongs to: Accountancy and Statistics Statistics
Question #3
According to Census 2011, the population density of India (persons per sq km) is:
A. 282
B. 455
C. 382
D. 324
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Correct Answer: Option C

Explanation:
The population density of India in 2011 was 382 persons per square kilometer.
This question belongs to: Accountancy and Statistics Statistics
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