Place the word \"true\" or \"flase\" in front of each statement 5.1. if the even

Question

Place the word "true" or "flase" in front of each statement 5.1. if the events A and B are mutually exclusive, then P(A or B) = P(A) + P(B) 5.2. If events A and B are independent with P(A) = 0.3 and P(B) = 0.8, then P(A and B) = 0.9 5.3. If an event is certain to occur, its probability is: P(E)=100. 5.4 If E is an event, then P(E^c)=P(E)=100. 5.4 if E is an event, then P(E^c)=P(E)+1 6.When a crd is selected from a deck, find the probability of getting: 6.1. A club 6.2 A king 6.3 A 6 or a spade 7. When two dice are rolled, find the probability of gettin: 7.1 A sum of 6 7.2. A sum greater than 9 7.3. A sum less than 13 8. A test has 10 multiple choice questions. Each question has 5 possible answers. one of which is correct. If you answer the questions by random guesses, what is probability of getting at least one answer correct

Explanation / Answer

5.1. TRUE.

This is so as P(A n B) = 0 in

P(A U B) = P(A) + P(B) - P(A n B)

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5.2

FALSE. If they are independent,

P(A n B) = P(A)P(B) = 0.3*0.8 = 0.24 [ANSWER]

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5.3

FALSE. The probability of a sure event is P(E) = 1. [ANSWER]

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5.4

FALSE. P(Ec) = 1 - P(E).

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