Two fair dice are rolled and the outcome is recorded. n(S)= Events: (a) sum of 6 n(a) = P(a)= (decimals- up to 4 decimal places) (b) doubles n(b)= P(b)= (decimals- up to 4 decimal places)

Q: For mutually exclusive events A and B, P(A)=0.32 and P(B)=0.35 Find P(A | B) А) о в) 0.112 c)…

A: We have given that the two events A and B. P(A) = 0.32 P(B) = 0.35

Q: A and B are two events. If P(A) =0.18, P(B) =0.33, P(A|B) =0.59 Find the P(A and B)

A: P(A) = 0.18 P(B) = 0.33 P(A|B) = 0.59 P(A and B) = ?

Q: In a large population, 59% of the people have been vaccinated. If 5 people are randomly selected,…

A:

Q: A and B are events such that P(A) = 0.4 and P(B| A) = 0.7. Find P(A&B).

A: The formula for dependent event P (A and B) is given below:

Q: Consider two independent events A and B such that P(A) = 0.5 and P(B) = 0.6, what is P(AUB)? %3D

A: Given that A and B are independent events. Thus, P(A n B) = P(A)P(B) = 0.5*0.6 = 0.3

Q: Let Event A = crime is a homicide and Event B = crime committed between midnight and 12:59 AM.…

A: Given: Let Event A = crime is a homicide Event B = crime committed between midnight and 12:59 AM.

Q: Heather buys a bag of cookies that contains 8 chocolate chip cookies, 7 peanut butter cookies, 9…

A: Givenno.of chocolate chip cookies=8no.of peanut butter cookies=7no.of sugeat cookies=9no.of oatmean…

Q: An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that…

A: When we rolled pair dice one green and one red  X : outcome on the green die Y : outcome on the Red…

Q: (b) Two dice are rolled by Kelly in a game. (1) List down the sample space. (ii) (iii) Find the…

A: The experiment is two dice rolled. The possible outcomes of the die rolled are as follows,…

Q: (c) In a communication system the signal sent from point X to point Y arrives by two paths in…

A: c) From the given information, In a communication system, the signal sent from point X to the point…

Q: (a) Pr(B|A) = 1/2. (b) Pr(B) = 4/7. (c) Pr(A| B) = 7/13. (d) The events A and B are mutually…

A: Given that, A bag contains 4 green balls and 3 red balls. A ball is selected at random from the bag.…

Q: A bag contains 3 white and 2 red balls. One by one, two balls are drawn without replacing them. Find…

A: The balls are3 white and 2 redSo total balls = 3+2 =5Two balls are drawn one by one without…

Q: A and B are independent events P(A) = 0.25 and P(A and B) = 0.14 then, find P(B) ?

A: Answer: Given that, A and B are independent events P(A) = 0.25 P(A and B) = 0.14

Q: A gumball machine contains 6 red gumballs, 5 blue gumballs, and 4 yellow gumballs. You put a coin in…

A: Given that  A gumball machine contains Red gumballs = 6 Blue gumballs  = 5 Yellow gumballs = 4 Total…

Q: Two dice are rolled. Find the odds of rolling the following.   ​(a) A sum of 3                ​(b) A…

A:

Q: We are asked to find the probability of event A occurring given that event B occurs. This is…

A: By conditional probability theorem, the probability of event A occurs, provided that the event B has…

Q: In a large population, 61% of the people have been vaccinated. If 5 people are randomly selected,…

A: From the given information, Sample size (n) = 5, Probability of success (p) = 0.61.

Q: There are two bowls. The first one contains 5 red balls, 3 green balls, and 2 yellow balls. The…

A:

Q: A card is selected at random from a standard deck of 52 playing cards. Find the probability of each…

A: The experiment is with a standard deck of cards.Total no. of cards in a standard deck = 52It is…

Q: A pair of six-sided dice is rolled one time. What is the probability that the number 5 will appear?…

A:

Q: The Venn diagram below shows the 8 students in Ms. Taylor's class. The diagram shows the memberships…

A: Given n=8

Q: A and B are two events. P(A) = 0.27, P(B) = 0.32, P(A Or B) = 0.45 Find P(B|A)? Round to 2…

A: Answer: From the given data, P(A) = 0.27 P(B) = 0.32 P(A or B) = 0.45

Q: What are the two rules of finding probability of complex events?

A: The two rules for finding the probability of complex events are 1. Addition rule of probability and…

Q: In a toss of a fair die, d probability of getting a 7 is? (A) -1 (B)0 (C) 1/3 (D)1/2

A: The dice has 6 faces with dots numbered 1 to 6 on each face respectively The sample space is given…

Q: 122. Exponential Probability Between 5:00 PM and 6:00 PM, cars arrive at Jiffy Lube at the rate of 9…

A: Given: The cdf of t (minutes for the car to arrive) is Ft=1-e-0.15t

Q: For independent events A and B , P(A)=0.80 and P(B)=0.20, Find P(A| B)   0.8   0.2   0.3125…

A: Given  P(A)=0.80 P(B)=0.20

Q: For two events A and B, P(A)=0.5 and P(B)=0.2. Then P(A or B) equals

A:

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

A:

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

A: Solution

Q: According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: You and I play the following game: I toss a coin repeatedly. The coin is not necessarily fair and…

A: The provided information is as follows:The given coin is not necessarily fair.The probability of…

Q: The events A and B are mutually exclusive. If ​P(A)=0.6 and ​P(B)=0.2​, what is​ P(A or​ B)?

A:

Q: A card is drawn at random out of a​ well-shuffled deck of 52 cards. Find the probability of each of…

A: In a​ well-shuffled deck of 52 cards there are 4 kings, 13 heart cards, 4 four card, 4 five card, 4…

Q: For a normal die, the sum of the dots on opposite faces is 7. Shown in the figure is a pair of trick…

A: a) We have to find the probability of rolling a sum of 7 using a pair of trick dice in which same…

Q: 21) An experiment is performed and four events (A, B, C, and D) are defined over the set of all…

A: If two events are independent then pUV=pUpV The conditional probability is defined by pU|V=pUVpV.

Q: A and B are two events, P(A)= 0.21, P(B)=0.32, P(A|B)= 0.61 Find P(A and B)

A: Answer: From the given data,   A and B are two events, P(A) = 0.21 P(B) = 0.32 P(A|B) =…

Q: A and B are independent events P(A) = 0.29 and P(A and B) = 0.18 then, find P(B) ?

A: Answer: From the given data, A and B are independent events Which means that the occurrence of one…

Q: Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as…

A: Given data A pair of dice is rolled