DSE 2005 Question 16: Probability and Bayes' theorem
Suppose four fair coins are tossed simultaneously. Suppose E is the event 'the number of Heads strictly exceeds the number of Tails' and F is the event 'the number of Tails strictly exceeds the number of Heads'. What is the probability of the event E∪F?
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Suppose four fair coins are tossed simultaneously. Suppose E is the event 'the number of Heads strictly exceeds the number of Tails' and F is the event 'the number of Tails strictly exceeds the number of Heads'. What is the probability of the event E∪ F? (A) 5/8 (B) 1/2 (C) 3/4 (D) 3/8
Also written as: Suppose four fair coins are tossed simultaneously. Suppose E is the event 'the number of Heads strictly exceeds the number of Tails' and F is the event 'the number of Tails strictly exceeds the number of Heads'. What is the probability of the event E union F?
Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.
What this question tests
This question is on Addition rule, complements and inclusion-exclusion, part of Probability and Bayes' theorem in Statistics.
The probability of at least one of several events, and of none.
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