a fair coin is tossed five times. let A be the event that an event number of heads occurred and let B be the event that a tail occurred on the first toss. determine whether the events A and B are independent or not

Q: Nine students, five men and four women, interview for four summer internships sponsored by a city…

A: Given that, There are total of 9 students. Among 9 students 5 men and 4 women. 9 students has an…

Q: Six persons are to be seated in a row. What is the probability that two particular persons sit next…

A: Given: Six persons are seated in a row.

Q: Determine the number of outcomes in the event. Decide whether the event is a simple event or not. A…

A: According to the information provided in the question, a computer randomly selects a number between…

Q: Assume that there are 15 frozen dinners: 5 pasta, 5 chicken, and 5 seafood dinners. The student…

A: The student can select any 5 dinners from 15 dinners in 15C5= 3003 ways Let us denote X= number of…

Q: A coin is tossed 6 times. Find the probability that at least three are tails.

A: Introduction:Since nothing is mentioned, we can assume that the coin is fair, so that the…

Q: We are going to flip a fair coin (heads or tails with equal chance of each) 4 times, and record the…

A: A fair coin is flipped 4 times. Event A: 3 heads among 4 flips. Event B: 1st and last flip are…

Q: Determine whether the event described is independent or not, then explain why.      A cube is drawn…

A: Events A and B are said to be independent events if the probability that A occurs does not affect…

Q: Give examples of two independed events.

A: Two events A and B are called independent events, if occurring of event A does not affect the…

Q: A bag contains 3 Red and 4 Black balls, A ball is drawn at random from What is the probability that…

A:

Q: Min draws a card from a well-shuffled standard deck of 52 playing cards. Then she puts the cards…

A: Given Data: n(S)=52 n( face cards)=12

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: An urn contains five white, three red, and two blue balls. Two balls are randomly drawn. What is the…

A: a. There are totally 10 balls in an urn out of which five are white, three are red, and two are…

Q: Assume that a box contains 2 defective widgets and 12 acceptable widgets. There are 4 inspectors,…

A: Given that there are 2 defective widgets and 12 acceptable widgets in the box. So total (2+12)=14…

Q: if six different customers a, b, c, d, e and f arrive for service at random order, what is the…

A:

Q: A ball is selected at random from a bag containing a red ball, a blue ball, a green ball, and a…

A:

Q: If 7 different customers A, B, C, D, E, F, and G arrive for service at random order, what is the…

A: If 7 different customers A, B, C, D, E, F and G arrive for service at random order, what is the…

Q: coin is tossed and a die is rolled. Find the probability of getting a tail and number greater than 1

A: We know that  Total possible cases for coin and dice is. { H,T} and {1,2,3,4,5,6}

Q: A group of 20 university students contains 8 who are in their first year of study. A student is…

A: Given,Total no.of university students=20no.of universities who are in their first year of study=8

Q: A box contains 5 white balls and 2 red balls. If three balls are drawn from one box, find the…

A: Ans- Given, a box contains 5 white balls and 2 red balls. Total = 5 + 2 = 7 balls.  If three balls…

Q: A coin is tossed twice. Let A=event the 1st toss is head, and B=event the 2nd toss is head. Find…

A: Given information- We have given that a coin is tossed twice. So, probability of getting 1st toss…

Q: A box contains 5 red, 3 black and 4 oranges balls. Five balls are drawn at a time from the box. What…

A: A box contains 5 red, 3 black, and 4 orange balls. Five balls are drawn at a time from the box.…

Q: A bag contains 5 red and 7 black balls. A ball is drawn at random from the bag, the colour is noted…

A:

Q: A popular news magazine wants to write an article on how much Americans know about geography. They…

A: Let us denote X= score We have to find P(X<45)

Q: Two marbles are selected from this bag that contains exactly 4 black and 2 white marbles. The first…

A:

Q: A die is tossed once. What is the probability that it will be 4 or divisible by 2

A: A die is tossed once. sample space:{1,2,3,4,5,6}total outcomes=6 outcomes probability that it will…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 green balls, 9 orange…

A:

Q: A secretary has written a letter. Each letter has an envelope prepared with the address and…

A: Given Solution:

Q: 12

A: Two Balls are Drawn from a bag containing  One red Ball, Two Black balls,  and three white balls. We…

Q: A coin is tossed 10 times. We get head 4 times and tail 6 times. Compute the probability for each…

A:

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: 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: There are 8 black and 4 green balls in a box. Three balls are drawn in succession (not every ball…

A: Solution: From the given information, there are 8 black and 4 green balls. Total number of balls is…

Q: If 8 different customers A, B, C, D, E, F, G, and H arrive for service at random order, what is the…

A: Here Given total Number of customer=8