Suppose we roll two six-sided dice. Consider event A as getting an odd number on die 1, event B as getting an even sum for the two dice. Are event A and B independent? If yes, then how?

Q: use the probability of the union of two events, independent, or dependent events in solving the…

A: The union of two sets are calculated by adding two event and subtracting the intersection of two…

Q: Three six-sided dice are in an urn: one fair die and two trick dice. One of the trick dice always…

A: Given that,The three six sided dice are in one urn. On of the trick dice always lands on either 2, 4…

Q: First define any three events A,B,C in your daily life problems and prove addition law of…

A: Suppose me and my sister are alone in the home. We are feeling boring. Therefore, my sister…

Q: A pair of 6 sided dice are tossed. What is the probability that at least one of the dice has a value…

A: GivenA pair of 6 sided dice are tossed

Q: Two dice are rolled. Each comes up with a number between 1 and 6. Let A be the event that the number…

A: Two dice are rolled.Sample space S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4)…

Q: a) Given events A, B, and C with their respective probabilities, P(A) = 0.30, P(B) = 0.40 and P(C) =…

A:

Q: Which

A: Simple events are those events which are mostly independent events.

Q: An experiment is rolling two dice. What is the probability that the first die is a 3 given that the…

A: An experiment of rolling two dice the outcome is,

Q: Two dice are tossed once. E1 is the event that the first die equals 4, and E2 the event that the sum…

A: Solution : Given : Two dice are tossed once. ∴ Ω   = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6),…

Q: 2.) Find the probability that an event E will occur if odds are 5:2 in favor of E.

A:

Q: Event A has probability 0.4. Event B has probability 0.5. If A and B are disjoint, then what is the…

A:

Q: are the outcomes that are possible when a couple has three children. Assume that boys and girls are…

A:

Q: If the odds against an event are 4 to 9 then the probability that the event will fail to a is what.

A: The odds against an event are 4 to 9.

Q: If two events A and B are not disjoint, then the probability of their union

A:

Q: When a pair of dice is​ rolled, what is the probability that the sum of the dice is 8​, given that…

A: A pair of six-sided dice is rolled.There are a total of  possible outcomes, as each die has  faces.

Q: A pair of fair dice is rolled. What is the probability that the number landing uppermost on the…

A:

Q: Two dice are rolled. What is the probability that the sum of the dice is larger than 8, given that…

A: Two dice are rolled, The sample space for the sum of the numbers showing up on the two dice is…

Q: A staff car park at the university has 22 parking spaces in a row. There are 19 cars to be parked.…

A:

Q: Ex.2 in family consist of 4 children account the probability of: a- At least having one child male.…

A: (a)   Obtain the probability of having at least having one child male.   The probability of having…

Q: If you roll two dice and record their sum, the events “even” and “less than or equal to 6” are:…

A: We have to check the independence of 2 events.

Q: If we roll two 20-sided dice (each with values 1-20), what is the probability that the first rolled…

A:

Q: Suppose you a 20 sided fair dice until either you roll a 1 or a 20. If you roll a 20 you win, and…

A: The following solution is provided below:

Q: If event A and event B are as above and event A has probability 0.3 and event B has probability 0.1,…

A: The following information has been given: Event A has probability P(A)=0.3 Event B has probability…

Q: we have 100 students in the Institute of Computing, Kohat University of Science and Technology. Out…

A: Probability is defined as the sum of favorable ways of an events divided by the total number of…

Q: Suppose two dice are rolled. Let A be the event that the sum ofthe two dice is 7. Find an event B…

A: Given: Two dice are rolled. A is the event that the sum of the two dice is 7. Possible outcomes when…

Q: A pair of fair dice is rolled. What is the probability that the number landing uppermost on the…

A: We find the outcomes for sum=7 of the numbers landing uppermost (1,6) , (2,5) , (3,4) , (4,3) ,…

Q: Question 4 In the box, there are 4 white marbles, 3 black marbles and 4 blue marble. As an…

A: It is given that the There are 4 white marbles,  3 black marbles, and 4 blue marble i.e. total…

Q: Suppose you have an urn containing 7 red and 3 blue balls. You draw three balls at random. On each…

A: Here in this question it given that we have an urn containing 7 red and 3 blue balls. You draw three…

Q: 4) Event A has probability 0.3. Event B has probability 0.5. If A and B are disjoint, then the…

A: Disjoint events: For disjoint events, there is no element in common. Two events A and B are said to…

Q: A and B are disjoint events. Suppose that P(B) = 2/5 and P(An B) 1/3. Please find P(A n B) =? %3D O…

A: Given,The events A, B are disjoint events it means P(A∩B)=0P(Bc)=25P(A∩Bc)=13

Q: Consider a family with 5 children. Assume the probability that one child is a boy is 0.5 and the…

A: Given information- We have given that a family with 5 children. We have given that the events "boy"…

Q: The question is in the image

A: 1.Independent Events:Two events are said to be independent if occurrence of one event does not…

Q: If we roll two 20-sided dice (each with values 1-20), what is the probability that the first rolled…

A:

Q: When two events cannot occur at the same time, they are said to be ?

A: Disjoint events:   Let A and B be any two events, if the events A and B are mutually exclusive or…

Q: Bowl A contains two white and one red chips; bowl B contains two red chips , and bowl C contains one…

A:

Q: Betty has several of the standard six-sides dice that are common in many board games. If Betty rolls…

A: Given data: Betty has several of the standard six-sides dice that are common in many board games. To…

Q: In a game, if after tossing a coin the outcome is head, you have to toss it again. If the outcome is…

A:

Q: Two dice are tossed together. Let A be the event that the sum of the faces are odd, B the  event…

A: When we tossed two dice. So total no. of possible outcomes will be 62 = 36…

Q: Suppose we roll two six-sided dice. Consider event A as getting an odd number on die 1, event B as…

A: roll two six sided dice. event A : odd number on die 1         B : even sum for two dice. are A and…