Suppose you toss a fair coin twice. Let E be the event of getting a head on the first toss, and let F be the event of getting a tail on the second toss.

Q: Let A be the event that your hole cards are AK, and let B be the event that your hole cards are both…

A: P(A) =P(event of holding ace and king) = 452×452=162704 P(B) = P(event of holding are red ) = 2352

Q: Let A and B be events such that P (A) = 4/10 and that P (A U B) = 7/10 Find the probability of B…

A:

Q: A and B are independent events. If Pr(A∩B)=0.18 and Pr[A]=0.3 what is Pr[B]?

A: Independent events : The event A and event B are independent if ,  P( A∩B ) = P( A )×P( B )

Q: Find the probability that Rebecca's fish are: (i) both the same sex (ii) both female (iii) both…

A: i) If the both fish are to be same sex then both can be male or female: (715*614)+(815*714)…

Q: In a shooting game, the probability for Ali to hit a target is , and the probability for Ahmad to…

A: Answer - The probability for Ali to hit a target is   P(A) =  1/2                The probability for…

Q: D.) A loaded coin was made so that the probability of the head turning out was twice more likely…

A:

Q: The event that “A or B but not both” will occur can bewritten as (A ∩ B)∪(A ∩ B) Express the…

A:

Q: Determine whether E and F are mutually exclusive, if E is the event "being a plumber", and F is the…

A: Mutually exclusive means when two events can not occur at the same time.

Q: assume that Pr[A∪B]=0.6 and Pr[A]=0.2 (1) What is Pr[B] if A and B are independent events?

A: Since A and B are independent event, so pr(A∩B)= pr(A)pr(B).

Q: The probability of event A, given that event B has occurred, is P(A| B) = %3D

A: Given information is as follows; P(A) = 14P(A') = 34P(B|A) = 110P(B|A') = 710 And asked to find the…

Q: A fair coin is tossed three times. What is the probability of getting a) exactly two heads (b) at…

A:

Q: e. What is the conditional probability that your second draw is a stick, given that your first draw…

A:

Q: Use probabilities, rather than your own personal experience, to determine whether E and F are…

A: Given information: Given that a die is rolled once. The event E = Getting a 1 and the event F =…

Q: A weighted coin with Pr[H]=0.3Pr[H]=0.3 is flipped 3 times. What is the probability the first and…

A: Given, P(H)=0.3 P(T)=1-P(H)        =1-0.3     =0.7 Number of flips=n=3

Q: From a standard deck of 52 playing cards, two cards are drawn in succession and at random without…

A: There are 52 cards in a standard deck. The number of ways 2 cards can be selected without…

Q: Q6: A machine produces a defected items with a probability of 0.1. What is the probability that in a…

A: As part guideline expert have to be answer first question only.

Q: Let P(A)=0.4, P(B)=0.3, if A and B are mutually exclusive，what is the probability that exactly one…

A:

Q: Let H denote the event that you flip heads, T denote the event that you flip tails, W the event that…

A:

Q: The probability of component A in a computer assembly being faulty is 3%. The similar probability…

A:

Q: Assume that the events A and B are independent with P(A) = .30 and P(B) = 40. The probability that…

A: We have given that,  P(A) = 0.30 and P(B) = 0.40 Then,  We will find the probability that  both…

Q: A company is to appoint a person as its managing director who must be an M. Com, M.B.A., and I.A.S,…

A:

Q: The probability that a student owns a CD player is 3/5. If eight students are selected at random,…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: A group of students is surveyed and 55% of the group is from Midland and 40% of the group like…

A: According to the provided data, the probabilities are;

Q: Given A and B are independent events, with P(A) = 0.50 and P(B) = 0.30. Find P(An B)

A: Given: P(A) = 0.50 P(B) = 0.30

Q: An experiment consists of drawing 1 card from a standard​ 52-card deck. Let E be the event that the…

A: Deck consists of 52 cards. n(S)=52 Let E be the event that card is club. n(E)=13 P(E')=?

Q: Suppose that events E and F are independent, P(E)=D0.3, and P(F)=0.9. What is the P(E and F)? The…

A: Given that, P(E) = 0.3 ,P(F) = 0.9 If A and B are independent events,P(A and B) = P(A) • P(B)

Q: If E and F are independent events with P(E) =0.4 and P(E or F) = 0.6,then find P(F).

A: It is given that E and F are independent events. The given probabilities are PE=0.4  and PE or…

Q: According to a survey, 67% of the students at Delta own a calculator. A group of 9 students is…

A:

Q: Suppose P(A) = .70, P(B) = .18, and events A and B are mutally exclusive. Find:  a) P(A and B) b)…

A: The provided information are :P(A) = 0.70, P(B) = 0.18The events A and B are mutually exclusive.

Q: Show that if we are given the odds against an event W as a:b, the probability of not W is given by…

A: The odds against an event ‘W’ as a:b or a/b. Odds against A = P(AC)/ P(A) The formula for the odds…

Q: A recent survey found that the probability that a student at a particular educational institution is…

A: 1)

Q: Let A and B be events such that P (A) = 4/10 and that P (A∪B) = 7/10  Find the probability of B…

A:

Q: A weighted coin with Pr[H]=45PT[H]=45 is flipped two times. What is the probability at least one of…

A: Given: Pr[H]=45 which is not clear fom the questionFormula: Conditional…

Q: Let A be the event of rolling a die and getting 6, and let B be the event of tossing a coin and…

A: The events are given by A : getting a 6 on rolling a die. B : getting a head on tossing a coin.

Q: Suppose a coin with Pr[H]=3/4 is flipped 4 times. Answer the following questions: What is the…

A: Consider,P(H) = ¾,P(T) = ¼N = 4 (four times coin flipped)Thus,

Q: Suppose the probability of winning the Powerball lottery is 0.2, while the probability of being…

A:

Q: Let A and B be any two events defined on S. suppose that p(A)=0.2, p(B)=0.7, and p(A and B)=0.3, the…

A: It is given that, p(A) =0.2 p(B) =0.7 and p(A and B) =0.3

Q: Assume that Jim, Bruce, and Valerie are three of the 35 members of the​ class, and that three of the…

A: We have to find out given probability . ..

Q: If the P(A) = 0.62, P(B) = 0.25, and A and B are mutually exclusive, then the probability of A or B…

A: As A and B are mutually exclusive, the probability of both occurring is 0.

Q: Let A, B and C be three independent events such that P(A)=P(B)=0.3 and P(C)=0.5. Find the…

A: It is given that the, P(A) = P(B) = 0.3 and  P(C) =0.5 and since these 3 events are independent.

Q: Suppose the probability of winning the Powerball lottery is 0.1, while the probability of being…

A: The probability of winning the Powerball lottery is 0.1. That is, PWinning=0.1, and the probability…

Q: out of 180 law students surveyed, 90 took Contract Law, 50 took Administrative Law, and 20 took…

A:

Q: For this problem, assume that Pr[A∪B]=0.85and Pr[A]=0.3. (1) What is Pr[B]Pr[B] if A and B are…

A: (1) Given that A and B are independent events.  that means Pr[A∩B]=Pr[A]×Pr[B]   So from the union…

Q: Suppose that Stephen makes 95% of his free throws. Assume that late in a basketball game, he is…

A: Given that  Success of probability p =0.95 Number of trials n=2 X~binomial (n,p) NOTE:- According to…

Q: A random sample of 250 working adults found that 74% access the Internet at work, 88% access the…

A: a.

Q: Consider events A and B that are independent. Let P(A) = 0.2 and P(B) = 0.3. What is the probability…

A: Given data P(A) = 0.2 P(B) = 0.3 P(both event occurs) =?

Q: Suppose the let-turn lane is to have a capacity of six cars, and that one bus is equivalent to three…

A: The probability of an overflow during a cycle is,…

Q: Show that the probability of the union of events A and B can be written as follows: P(A U B) = P(A)…

A: Given: To prove that the probability of the union of events A and B can be written as…

Q: Suppose that events E and F are independent, P(E) = 0.4 and P(F)=09 What is the P(E and F)2 The…

A: Given,P(E)=0.4P(F)=0.9E and F are independent

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.