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.)

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

A: No.of red marbles=9No.of white marbles=6No.of blue marbles=5Total marbles=20

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A: Given that  Total students=30 Number of boys=17 Number of girls=13 Boys made A grade=4 Girls made A…

Q: COIN TOSS A. Determine the probability of your outcomes from the following (SHOW SOLUTION) i.…

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: An ice-cream company did a study on preferred ice-cream flavor. The results of the study are shown…

A: a. The contingency table is,   Vanilla Chocolate Other Total Children 3 2 1…

Q: A small town has two fire engines available for emergencies and are operating independently. The…

A: From the provided information, Probability that a specific engine is available when needed is 0.96…

Q: What is the probability that you select 5 students and 5 faculty? Enter your answer rounded to two…

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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: A student goes to the library. Let events B = the student checks out a book and D = the student…

A:

Q: There are 5 notes and 5 envelopes addressed to individuals A, B, C, D, E. Suppose that the notes are…

A: Given, A,B,C,D,E are 5 envelopes and there exists 5 corresponding notes.

Q: The chips shown are placed in a bag and drawn at random, one by one, without replacement. What is…

A: Total chips=3+3+1+9=16 Yellow chips=3, White chips=3, Red chips=1, Blue chips=9

Q: two dice are rolled. Find the probability of getting the following results. p(sum) 10,9 or 4

A: When we rolled two dice. So total no. of possible outcomes will be 6^2=36. These are […

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

A: Solution

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

A: 5 red marbles6 white marbles9 blue marbles

Q: Suppose P(A) = : Find the probability. P(A)

A: We have to find given probability..

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

A: