Answered: If A and B are complements, then which…

If A and B are complements, then which of the following is true about the probability of B based on the probability of A? 1) P(B)=P(A)+1 2) P(B)=1-P(A) 3) P(B)=1/P(A) 4) P(B)=P(A)-1

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

See similar textbooks

Related questions

Q: As a reward for a record year, a software company is randomly selecting 4 people from its 300…

A: n(S) =300!4!296!n(P) =298!2!296!

Q: Events A and B are independent and P(A)= 0.3 and P(B)=D 0.8 Find the probability of the following…

Q: (a) Find the probability of being dealt a "sevens over threes" full house (three sevens and two…

A: Total number of cards is 52

Q: When 2 events (A,B) are independent, what is the probability of their union? a.) P(A) + P(B) b.)…

A: Let us consider two events A and B. Consider A and B are independent events.

Q: OP(AnB) OP (Sample Sapce) = 1 OP(A or B) = P (A) + P (B) ○ P(A) = 1 – P (Aº) = P (A) × P (B) if…

A: It is given that the probability rules on all the parts. Here, need to find out the wrong statement.

Q: 12) The probability of hitting a bull's-eye on a dartboard is 0.05. What is the probability that you…

Q: 3. If A and B are complements, then which of the following is true about the probability of B based…

A: Given A and B are complimentsTo determine which is true about the probability of B based on…

Q: Given that P(A) = 0.7, P (A/B) = 0.7, P(A∩B) notation same as P (A and B) = 0.42, find the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Three contractors (call them A, B, and C) bid on a project to build an addition to Kretschmar Hall.…

A: Let PA represents the probability of winning of contractor A, PB represents the probability of…

Q: (d) What is the probability that each person wins one match? (Hint: There are two different ways for…

Q: An archer hits a bull’s-eye with a probability of 0.78, and the results of different attempts can be…

Q: Leghorn chickens are raised for laying eggs. Suppose the probability of a female chick hatching from…

A: Let us define the random variable X as the number of female chicks and follows Binomial distribution…

Q: (b) P((An B)) Using the Rule for Complements, the probability P((A n B)) can be written a P((An…

A: The given events are:A={E2,E3}B={E1,E2,E4,E5}The objective is to obtain the intersection of both…

Q: The probability that an egg from a pair of small parrots produces an albino chick is . If the…

Q: When two events A and B are not mutually exclusive, the probability that A or B occur is P(A or B) =…

A: Solution: From the given information, two events A and B are not mutually exclusive.

Q: Compute the probability of event E if the odds in favor of E are 13 (C) 18 26 8 (A) (B) 29 (D) 15 19…

A: Odds are used in probability theory.

Q: (10) A box contains 12 black marbles and k white marbles. If a marble is picked at random 5 -. Find…

Q: In a poker hand consisting of 5 cards, find the probability of holding (a) 3 kings; (b) 3 red cards…

A: From the information, given that there is a total of 52 cards in a deck of cards among which there…

Q: B) are disjoint, what is the probability of their union? a.) P(A) + P(B) b.) P(A)P(B) c.) 0 d.)…

A: As given that events A and event B are disjoint. It is asked to find the probability of their union.

Q: American Airlines' flights from Chicago to Dallas are on time 80 % of the time. Suppose 8 flights ar…

A: The binomial formula is: 1. The required probability is: P(7)=0.33554432 P(7)=0.336 0.336

Q: In a poker hand consisting of 5 cards, find the probability of holding (a) 2 queens; (b) 4 clubs and…

A: There are 52 cards in the deck. They are divided into 4 categories and each has 13 cards, One is a…

Q: Of 100 students, 26 can speak French F, 33 can speak German G, and 16 can speak both French and…

A: Given that The total number of students is .The number of students who speak French is The number of…

Q: ou are given the following three statements: (a) 30 % of Americans go to the beach regularly…

A: Given Information: 30 % of Americans go to the beach regularly Of those who go to the beach…

Q: P(H ∩ B)=.375 P(H ∩ R)=.125 P(T ∩ B)=.375 P(T ∩ R)=.125 Using the same premise as the previous…

Q: If three fair coins are tossed, the probability of two heads is: (a) 3 (b) 2 (c) 15/18 (d) 3/8

A: To find - If three fair coins are tossed, the probability of two heads is ?

Q: Can I also use conditional probability in this problem to check whether the two events are…

A: We know if A and B are two events independent if and only if P(A | B) = P(A) Or P(B | A) = P(B)

Q: 4. Teddy lives life on the edge and gets dressed randomly every morning. This morning, he is…

A: Number of black shoes is 2. Number of brown shoes is 3. Number of black pant is 3. Number of brown…

Q: I need answers for B, C. Three friends (A, B, and C) will participate in a round-robin tournament…

A: Provided information is ; P(A beats B) = 0.2P(A beats C) = 0.4P(B beats C) = 0.7 Calculation : Now…

Q: The probability of drawing three cards from a deck of 52 cards with replacement, such that the first…

Q: Which of the following calculation rules about conditional probability is not correct P(A and…

A: we have to find incorrect statement for rules about conditional probability.

Q: Suppose that P(A) - 0.3 and P(B) = 0.6. If events A and B are mutually exclusive, find the following…

A: Mutually exclusive events [MEE]:

Q: Leghorn chickens are raised for laying eggs. Suppose the probability of a female chick hatching from…

A: (a)Let us define the random variable X as the number of female chicks and follows Binomial…

Q: Ans. (1) Q.8 A rat has five choices of alternate routes in order to reach the food box. If it is…

A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…

Q: 21. Two identical boxes contain balls. One of the boxes has 7 red balls and 4 blue balls. The other…

Q: For this problem, assume the team had 11 aluminum bats and 5 magnesium bats. Three bats are selected…

A: From the provided information, Team had 11 aluminium bats and 5 magnesium bats. Total bats = 11 +5…

Q: (a) The probability that you get all Limes. (b) The probability that you get exactly 2 Lemons. (c)…

A: It is given that The total different citrus fruits = 38Oranges = 8Limes = 20Lemons = 6Grapefruits =…

Q: 8) (1 point) An event A will occur with probability 0.234. An event B will occur with prob- ability…

A: Solution

Q: Is the probability of A given Complement of A equal 1? True or false

A: Here, it is required to check whether the probability of A given Complement of A is equal to 1 or…

Q: When two events are independent, the probability of both occurring is P(A and B) = O P(A) + P(B) O…

A: We have to find correct answer...

Q: Given the probability that "she's up all night til the sun" is 0.30, the probability that "she's up…

A: Let S denote the "she's up all night til the sun" and F denote "she's up all night for good fun".…

Q: 1.) If P ( A ) = 0.4 , what is P ( A ¯ ) ? 2.) The probability of drawing an Ace from a deck of…

A: as per guideline expert have to answer first question only since i had done all for you .

Q: At a high school, the probability that a student takes a science class and a history class is 0.38.…

A: According to the given information, we haveP(science class and history class)=0.38P(science…

Q: (a) There are 4 red balls and 6 blue balls in a bag. A ball is drawn at random from the bag. If the…

Question

If A and B are complements, then which of the following is true about the probability of B based on the probability of A?

1) P(B)=P(A)+1

2) P(B)=1-P(A)

3) P(B)=1/P(A)

4) P(B)=P(A)-1

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)
Show that the probability of drawing a club at random from a standard deck of 52 playing cards is the same as the probability of drawing the ace of hearts at random from a set of four cards consisting of the aces of hearts, diamonds, clubs, and spades.
In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five numbers match the five numbers drawn (in any order), the player wins (or shares) the top prize. What is the probability of winning the top prize when the player buys one ticket?
Dividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an $8000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning (and that of B winning) if the game were to continue? The French mathematicians Pascal and Fermat corresponded about this problem, and both came to the same correct conclusion (though by very different reasoning's). Their friend Roberval disagreed with both of them. He argued that player A has probability of Winning, because the game can end in the four ways H, TH, TTH, TTT, and in three of these, A wins. Roberval’s reasoning was wrong. Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform this experiment 80 or more times, and estimate the probability that player A wins. Calculate the probability that player A wins. Compare with your estimate from part (a).
Three people are chosen at random from a group of live men and ten women. What is the probability that all three are men?