Probabilities when events are independent (for example sampling with replacement).  A useful formula: P(A and B) = P(A)*P(B) when events A and B are independent.    A bag has 10 blue balls, 11 red balls, and 8 green balls. You are drawing a ball, recording its color and then returning the ball to the bag before drawing a ball the second time.   What is P(both prizes are blue) = P(A and A) where A = event a blue ball is chosen?

Q: A 6-sided die rolled twice. Let E be the event "the first roll is a 6" and F the event "the second…

A: Given A 6-sided die rolled twice. Let E be the event "the first roll is a 6" F the event "the second…

Q: Suppose events A, B, and Care independent and PLA) - PIB) - PC) - Find the probability. (Enter the…

A:

Q: Step 2 We are interested in the probabilities of finding r illiterate people, when r = 0, 1, 2, 3,…

A:

Q: She has all the red ones.

A: Suzy is given a bag containing 4 red marbles, 3 green ones, 2white ones, and 1 purple one. She grabs…

Q: The table gives a set of outcomes and their probabilities. Let  A  be the event "the outcome is…

A: In this case, the only outcome that is divisible by 9 is 9 itself.

Q: (a) Find the probabilities of the events below. Write each answer as a single frection. P(4) - P(B)…

A:

Q: An experiment consists of two trials. The outcomes of independent the first trial are A, B, and C,…

A: Given information: An experiment consists of two independent trials. The outcomes of the first trial…

Q: Find P(A and B). (Give your answer correct to two decimal places.) A and B are independent events,…

A:

Q: conditional probability) Assume that the box contains 8 balls: 1 red, 5 blue, and 2 yellow. As in…

A:

Q: #2 A bowl contains 3 yellow beads, 21 green beads, 12 blue beads, and 6 red beads. if 1 bead is…

A:

Q: The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a…

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: Suppose events A and B are independent and P(A) = = 1 P(B) = 4 Find the probability. (Enter the…

A:

Q: According to Mendel's theory, if tall and colorful plants are crossed with short and colorless…

A: Given that  P(Tall and colorful)=9/16 P(Tall and colorless)=3/16 P(short and colorful)=3/16 P(short…

Q: (a) Find the probabilities of the events below. Write each answer as a single fraction. P(A) = P (B)…

A: From the given Venn diagram Total students = 8

Q: Probability A jar contains 10 black marbles and 40 white marbles. If you randomly select a marble…

A: Given: Number of black marbles = 10 Number of white marbles = 40 Total number of marbles = 10 + 40 =…

Q: A dice is rolled once. Let E be the event of an even number coming up, O the event of an odd number…

A: From the given information we want to know the event are independent or not.

Q: Suppose you have a jar that includes six balls, two red balls, three green balls, and one blue ball.…

A: In first draw there are 6 balls in the jar and out of them 2 are red. Hence probability of selecting…

Q: 60% of homeowners in Northern Virginia have a weekly lawn service. Those homes with a lawn service,…

A: Note: Hey there! Thank you for the question. As you have posted multiple sub-parts, we have solved…

Q: Suppose X and Y are events in a sample space such that P(X|Y) = 1 3 and P(Y) = What is P(XY)?

A: X and Y are the events in a sample space such that, P(X|Y)=1/3 P(Y)=1/5 To find: P(X and Y)

Q: The table gives a set of outcomes and their probabilities. Let  A  be the event "the outcome is a…

A: The objective of the question is to find the probability of event A, which is defined as the event…

Q: Solve the problem involving probabilities with independent events. The chart shows a certain city's…

A: Given that there are 11 resident selected

Q: Event A occurs with probability 0.2. Event B occurs with probability 0.3. Event C occurs with…

A: Given,Event A occurs with probability 0.2. That is, P(A) = 0.2 Event B occurs with probability 0.3.…

Q: Roll a pair of dice 100 times. Keep a record of the sums of the dice. Find the theoretical…

A: If a dice is thrown twice then there are total 6*6 = 36 possible outcomes. So, P(x) = number of ways…

Q: An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C,…

A: Given problem Given that   An experiment consists of two independent trials. The outcomes of the…

Q: (a) Find the probabilities of the events below. Write each answer as a single fraction. P(A or B) =…

A:

Q: With in a fault tree the probabilities of events are, respectively, P(Broken fuel pumps ) = 10-6,…

A:

Q: Number 49 parts A and B

A: Let the event A denotes “watch the masters” And, the event B denotes “watch the British Open”. The…

Q: Find P(A).

A: Here use given table to answer the required probability

Q: Probabilities when events are dependent (for example sampling without replacement).  A useful…

A: Given that: Number of first graders: 9 Number of second graders: 7 Number of third graders: 6 No two…