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Probability and Combinatorics Quiz

The document contains two questions. The first asks how many ways the letters in the word "STATISTICS" can be arranged. The second asks to compute the probabilities of three events using a Venn diagram, where the events A, B, and C are independent with given probabilities, and the probabilities requested are the intersections of A, B, and C with their complements.

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72 views2 pages

Probability and Combinatorics Quiz

The document contains two questions. The first asks how many ways the letters in the word "STATISTICS" can be arranged. The second asks to compute the probabilities of three events using a Venn diagram, where the events A, B, and C are independent with given probabilities, and the probabilities requested are the intersections of A, B, and C with their complements.

Uploaded by

hkaqlq
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Q1How many ways can you arrange the letters in the word STATISTICS? (e.g.

SSSTTTIIAC counts a one arrangement.)


Q2 Suppose now that events A,B and C are mutually independent with

P(A)=0.3, P(B)=0.4, P(C)=0.5. Compute the following: (Hint: Use a Venn


diagram) P(A ∩ B ∩ Cc) (ii) P(A ∩ Bc ∩ C) (iii) P(Ac ∩ B ∩ C)

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