a) Let A be the event that the two numbers we roll are the same. Find P (A). (b) Let B be the event that the sum of the two rolls is less than 5. Find P (B). (c) Find P(A and B). (d) Are A and B mutually exclusive events? (e) Are A and B independent events?   (11) Refer to the previous problem. Find (a) P (Bc) (b) P (A or B) (c) P (A and Bc) (d) P (A or Bc)

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: Two cards are selected with replacement from a standard deck of 52 Find the probability of selecting…

A: the probability of selecting a 4 and then selecting a 5 selecting a 4 have  4 possible cases…

Q: Which pair of events are independent? P(A)=0.55, P(B) =0.65 or p(A&B) = 0.35?

A: We have given- P(A) = 0.55 P(B) = 0.65 P(A & B) = 0.35 We have to find weather it is an…

Q: In the cafeteria, there are 7 teachers, 48 girls, and 45 boys. What is the probability that a person…

A: We have given that, In a Cafeteria, there are 7 teachers, 48 girls and 45 boys. Total person in the…

Q: You have two unfair coins.  One coin has a probability of 0.55 of landing heads, and the other coin…

A: Given that  You have two unfair coins. One coin  Probability of landing head P(H1 ) = 0.55…

Q: u roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? (b) Find…

A: (a)  Thus, the event of getting any number in green die is independent of getting any number from 1…

Q: Leon and Zack are playing a game with dice. Leon rolls the dice first, and Zack rolls second. Are…

A: The objective is to check whether two events are dependent or independent.

Q: Problem 6. Let A and B be two events and assume P(A) = 0.35 and P(B) : %3D 0.45. Assume further that…

A: P(A) = 0.35P(B) = 0.45P(A|B) = 0.80

Q: events A and B are mutually exclusive, then P(A) + P(B) = 0. True or false?

A: Given that  If two event A and B are mutually exclusive.

Q: Consider two events, A and B, such that P(A) = 0.60, P(B) = 0.35, and P(A and B) = 0.25. Are events…

A: Consider the two events A and B. PA=0.60 PB=0.35 PA∩B=0.25

Q: How do you show that two events are independent?

A: Two events A and B are said to be independent if P(A and B)= P(A)*P(B)

Q: Roll two fair dice. Is the occurence of an even number on one of them independent of the occurence…

A: The outcome of the die is {1,2,3,4,5,6}.

Q: An experiment consists of observing the sum of the outcomes when two fair dice are thrown. Find (a)…

A: Given An experiment consists of observing the sum of the outcomes when two fair dice are thrown.

Q: The P ( A ) = 0.5 and the P ( B ) = 0.24 . Events A and B are mutually exclusive. What is the P ( A…

A:

Q: If A and B are any two events with P(A) = 0.9 and P(B|A) = 0.5, then the probability of A and B is?

A:

Q: Let A and B be two events such that P(A/B) = P(B/A) = and P(An B) = 1/ 1 Then P(AUB) = 2/3 3/4 1/3 O…

A:

Q: Suppose, you are rolling two regular six-sided dice and two four-sided dice together. Let's say, the…

A: Let 'S1' be the sample space of rolling two six-sided dice together. S1={1, 1, 1, 2, 1, 3, 1, 4, 1,…

Q: 9 A and B are independent events such that P(A) = 0.9 and P(B) = 0.3. Find: a P(AB) b P(AB) b P(AB)…

A: A and Bare two independent event such that P(A)=0.9,P(B)=0.3 We have to find, c)P(A∪B')

Q: Assume that you are rolling two regular dice.  The first one is red; the second one is green.  In…

A: When we rolled pair dice of different colours So total no. of possible outcomes will be 62 =36.…

Q: For this problem, assume that you weigh 350 duck hatchlings. You find that 50 are slightly…

A: (1) The probability that should be assigned to a single duck hatchlings being slightly underweight…

Q: 3rd D To the right are the outcomes that are possible when a couple has three children. Assume that…

A: Given: Total number of events=8Number of events containing exactly 1 boy=1 The probability of…

Q: If P(A|B) = 0.5 and P(B) = 0.5, then the events A and B are independent. ture or fals

A: Given :  P(A|B) = 0.5 P (B) = 0.5 A and B are independent events. Then,

Q: For this problem, assume that the outcomes 1 through 2 are equally likely, that the outcomes 3…

A:

Q: The events A and B are mutually exclusive. If P(A) = .33 and P ( B) = .26, what is the P( A or B)

A: Given that  P(A) = .33 and P ( B) = .26

Q: Mary is playing a game where she flips a coin with probability of head = p. She wins $1 if the coins…

A: *Answer:

Q: For this problem, assume that you weigh 400 duck hatchlings. You find that 67 are slightly…

A: Given information, Assume that you weigh 400 duck hatchlings. You find that 67 are slightly…

Q: The events A and B are mutually exclusive. If P(A) = .31 and P ( B) = .42, what is the P( A or B)

A: It is given that  P(A) = 0.31 P(B) = 0.42

Q: U and V are mutually exclusive events. P(U) = 0.3; P(V) = 0.49. Find: a. P(U and V) = b. P(UIV) = c.…

A:

Q: When two events cannot occur at the same time, they are said to be OA mutually exclusive. OB. not…

A: In this case, we need to find the suitable option for the given statement.

Q: Events A and B are such that P(A)=0.70, P(B)=0.40, and P(AUB)=0.90. Find P(B| A).

A:

Q: wo fair dice are rolled. Event A = {the sum on the two dice is more than seven} Event B = {the two…

A:

Q: The probability of triplets in human births is approximately 0.001. Whats the probability that there…

A: Givenp=0.001n=700

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: