A dice is rolled, event A `is that the dice comes up with 3 and event B is that the dice comes up with an even number. Are the events Mutually exclusive?
Q: Answer the questions below. (a) How many different committees of size 4 can be formed from 15…
A: (a) Determine the number of different committees of size 4 can be formed from the 15 people. The…
Q: A candidate is selected for interview for 3 posts. For the first post there are 3 candidates, for…
A:
Q: What is the probability that a card drawn from a standard deck has an odd number on it or is red?…
A: From the provided information, Total cards in a standard deck = 52 Total red cards = 26 Total odd…
Q: What is the probability that a 6 is ohtained on one of the dice in a throw of tWO dice, given that…
A:
Q: Three cards are drawn in succession from a deck without replacement. What is the probability that…
A:
Q: If you roll a fair six sided die nine times, what is the probability that at least two of the rolls…
A: The probability of getting three=16 The probability of not getting three=56 The probability that…
Q: 3 card are selected from a deck. what is the probability that there are atleast 2 clubs?
A: A deck of cards contain 52 cards is divided in to four suits of 13 cards. There are 13 clubs. Three…
Q: A box consists of 6 Red balls, 4 Black balls, 7 Blue balls, and 3 White balls. If we conduct the…
A: Given box consists ,6 red balls, 4 black balls, 7 blue balls and 3 white balls.So total balls =…
Q: What is the probability of randomly selecting all seniors to form a committee of three from a pool…
A: we have to find given probability.
Q: any best of seven series are scheduled so that the first two games are played at the home field of…
A: See the handwritten solution
Q: Ten people, 5 women and 5 men are sithing around hind the probability, that neither two wornen nur…
A: Total 10 people : 5 women and 5 men Round table : P(neither two women nor two men are sitting next…
Q: what is probability that a PIN number is 4 consecutive digits
A: The numbers 0,1,2,3,4,5,6,7,8,9 can be used for 4 digit PIN number. There are 10 choices for 1st…
Q: Suppose A and B are two independent events. Prove A' and B are independent events. (Note: this is…
A: Given A and B are independent
Q: what is the probability that exactlyu three of the people will choose pie .
A: Answer:- Let, X be the random variable follows Binomial distribution.
Q: A student is taking an English course and a history course he decides to probability of passing…
A: Given: X: Event of passing history course Y: Event of passing english course P(X)=0.75 P(Y)=0.84 X…
Q: A lot contains 10 white bulbs and 20 yellow bulbs out of which 3 white bulbs and 5 yellow bulbs are…
A: Number of white bulb is 10. Number of white bulb is 20. Number of defective white bulb are 3. Number…
Q: A drawer contains 9 socks consisting of 4 matches pairs and one single unmatched sock. If you draw 4…
A: drawer contains 9 socks consisting of 4 matches pairs and one single unmatched sock.
Q: Two cards are selected at random from a standard deck of 52 cards without replacement. Are the…
A: Probability is defined as the ratio of number of favorable outcomes to the total number of possible…
Q: A letter is selected at random from the alphabet. What is the probability that it is one of the…
A: The letter is selected from the alphabet. Formula used: Probability=Favorable outcomes/Total…
Q: Assume that a fair six-sided die is rolled 9 times, and the roll is called a success if the result…
A:
Q: There are three closed box labeled with A,B,C. And only one of them with one concert ticket. Now…
A: Given: Chosen box: A Empty box: B
Q: n a lot of 25 molded parts there are 5 that are defective, if 3 are selected at random and without…
A: To find the probability that the three parts are defective:
Q: What is the probability that two cards are selected at random from a deck of cards containing a face…
A: We have to find given probability
Q: A farmer has a box containing 30 eggs, 5 of which have blood spots. He checks egs taking them at…
A:
Q: cards are chosen at random from a deck without replacement, what is the probability that at least…
A: We know that There are 52 card in the deck in which they divided into two color i.e red(26) and…
Q: bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. (a)…
A:
Q: A dime is tossed 3 times and a nickel is tossed 2 times. List the 32 possible outcomes. What is the…
A: Dime tossed 3 times, Nickel tossed 2 timesProbability : P = favorable / total 32 possible outcomes
Q: What is the probability of drawing two red marbles, followed by three blue marbles, and then two…
A:
Q: probability that both balls drawn are red
A: There are 5 red 3 yellow balls and 2 blue balls in a bag. total balls are 10 Given condition is A…
Q: rls and 2 boy
A:
Q: If a die is tossed, then the occurrence of side one (1) and side four (4) are two events that:…
A: If a die is tossed, then the occurrence of side one (1) and side four (4) are two events that:
Q: Q1/ In a group of 15 mixed plants, 6 are red, 8 are yellow and 3 are both. What is the probability…
A: Given information No of mixed plants = 15 No of red plants = 6 No of yellow = 8 Both = 3
Q: Box A contains 20 red marbles and 30 blue marbles. Box B contains 10 white marbles and 47 black…
A: List the given values, Box A : Red marbles (R) = 20 Blue marbles (B) = 30 Total marbles in Box A…
Q: A committee of 5 is to be selected from a group of 6 men and 9 women. Suppose the selection is made…
A: A committee of 5 is to be selected from a group of 6 men and 9 women.
Q: A quarter is tossed 4 times and there are 16 possible outcomes what is the probability of the event…
A: Total number of tosses=n=4 And the probability of getting head=p=0.5 Let X=number of heads X follows…
Q: A family chosen at random has 4 kids (a) what is the probability that there are 2 boys and 2 girls?…
A: Each kid can be chosen in 2 ways (boy or girl) So 4 kids can be chosen in 24=16 ways (order of…
Q: Determine the probability of exactly one tail if two fair coins are tossed
A: The total possible outcome after tossing two fair coins = 22 = 4 The sample space is as follow: {HH,…
Q: If an event “A” has probability 0.40 of occurring, what is the probability of the complement of…
A: Given information- We have given the probability of occurrence of event A. P(A) = 0.40 We have to…
Q: I am picking cards out of a deck. What is the probability that I pull out 1 heart out of 5 cards if…
A: In probability theory, when we talk about drawing cards from a deck with or without replacement,…
Q: find the probability that when you select one piece from the white piece and then a send piece from…
A:
A dice is rolled,
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- Eye color in humans is determined by a single pair of genes. If both genes are blue-eyed genes, then the person will have blue eyes; if they are both brown-eyed genes, then they will have brown eyes; and if one is a blue-eyed gene and the other is brown-eyed gene, then the person will have brown eyes. A baby receives one gene from each of its parents and the gene it receives is equally likely to be either of the two genes of that parent. Suppose that Mario and both of his parents have brown eyes, but that his sister has blue eyes. (a) What is the probability that Mario possesses a blue-eyed gene? (b) Suppose that Mario’s wife has blue eyes. What is the probability that a child of theirs will have blue eyes? (c) If their first child has brown eyes, what is the probability that their second child will also have brown eyes?Can an event of probability 0 be an outcome of a chance experiment?Of one card is drawn from a standard deck of cards, what is the probability that the card will be a club ?
- 4 people wearing shirts with numbers 1,2,3,4 respectively sit randomly in 4 seats numbered 1, 2, 3, 4. Find the probability that at least one person has the same number of shirts and seatsWhat is probability that two randomly selected people are born on the same weekdays?A bag contains 5 white and 8 red balls. Two drawings of 3 balls are made such that (a) the balls are replaced before the second trial, and (b) the balls are not replaced before the second trial. Find the probability that the first drawing will give 3 white and the second 3 red ball in each case.
- Three cards are drawn in succession from a deck with replacement. What is the probability that all cards are greater than 2 and less than 8?Describe the addition law for events that are mutually exclusive and events that are notAssume that a fair six-sided die is rolled 9 times, and the roll is called a success if the result is in {1,2}{1,2}. What is the probability that there are exactly 1 successes or exactly 1 failures in the 9 rolls?
- Suppose 70% of sales people in a corporate are women. Further, 20% of sales peoplegot a promotion last year and 24% of sales people are men who were not promoted. Sup-pose we randomly select a sales person. Are the events A = {sales person is a woman} andB = {sales person got promoted} independent?2 cards are drawn from a deck 1 at a time without replacement. What is the probability that the next card drawn is a heart given that the 1st i card dawn is not a heart?