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

A:

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: 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