A fair coin is tossed twice. Define the events. A Getting a head on the first toss. Getting a head on the second toss. B = A and B = Getting a head on both the first and second tosses. A or B = Getting a head on the first toss, or the second toss, or both tosses. (a) Find P(A) = the probability of A. (Enter your answer as a fraction.) (b) Find P(B) = the probability of B. (Enter your answer as a fraction.) (c) Using the multiplication rule, find P(A and B) (Enter your answer as a fraction.). (d) Using the addition rule, find P(A or B). (Enter your answer as a fraction.)

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Q: Selecting Marbles A bag contains 9 red marbles, 6 white marbles, and 5 blue marbles. Randomly choose…

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A:

Q: Determine if each event is independent or dependent.  Then find the probability. A bag contains 4…

A: Given: A bag contains 4 red, 4 green, and 7 blue marbles. Three are selected in sequence without…

Q: Let A and B be events with P(A) =0.7, P(B) = 0.44, and P(B|4) = 0.8. Find P(A and B). P(4 and B) =

A:

Q: Given P(A) = 0.53, PLB) = 0.34, and the fact that e vents A and B are independont wha t is PlA and…

A: According to the given information, we have P(A) = 0.53 P(B) = 0.34 Events A and B are independent.

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A: Given: A bag contains 2 white and 3 black balls. Four persons A,B,C and D in the order named each,…

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A:

Q: Suppose events B and C are independent and P(B) = 1 P(C) = 1 3 6 Find the probability. (Enter the…

A: Here given that P(B) = 13     P(C) = 16A, B are independent so P(A,B) = P(A).P(B)

Q: Let A and B be events with P(A) = 0,700 and PLAN B)=0.300. For what value of P(B) will A and B be…

A: P(A)=0.700P(AB)=0.300

Q: 9 A and B are independent events such that P(A) = 0.9 and P(B) = 0.3. Find: a P(AB) b P(AB) b P(AB)…

A: A and Bare two independent event such that P(A)=0.9,P(B)=0.3 We have to find, c)P(A∪B')

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A: Conditional probability is extremely useful when one event is dependent on the other.

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Q: The Venn dia- The diagram Note that "La One student f Let A denote Let B denote Answer each

A: Solution

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A: 5 red marbles6 white marbles9 blue marbles

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Q: Use the Test for Independence to determine if events A and B are independent. P(A) = 0.7, P(B) =…

A: