1. (Like Ross, 1.7) Two cards are randomly selected from a deck of 52 playing cards. What is the probability that they are both aces? What is the conditional probability that they are both aces, given that they are of different suits?
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A: Given,n=14p=0.18X~Binomial (n=14 , p=0.18)P(X=x)=nx px (1-p)n-x ; x=0,1,2,.....n
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A: Here without Replacement model So use hypergeometric distribution
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Q: Solve all the subparts in question. Q)A set of eight cards contains one joker. Player A and Player…
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A: The answer is attached below,
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Q: 13.) Suppose we throw 2 dice. Given that the sum of the dice is 10, what is the probability that one…
A: S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3)…
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- 21. A box contains five red, two white, and three green marbles. If a marble is selected at random, find these probabilities. b. That it is green. a. That it is red. d. That it is not green. c. That it is not red.Given the situation, what is the probability that:C. A player will get 3 acesD. 2 players will get 2 acesE. 2 players will get 1 ace each and 1 player will get 2 acesF. Each player gets an ace and a kingA bag contains 5 red balls and 3 white balls. If 3 balls are drawn with replacement from the bag, what are the probabilities that. a. 2 balls will be red? b. a least 2 balls will be red?
- Debi sells eggs at a farmer's market. She sells the eggs by the dozen, and most of the eggs are large white eggs but she also has some small brown eggs. If there is one small brown egg in every 3 dozen eggs, and Debi sells 20 dozen eggs, what is the probability that an eg chosen at random from the eggs that she sells is a sma brown egg?The chaper is Probability.7. A drawer contains 6 black socks, 4 brown socks, and 2 green socks. Suppose one sock is drawn from the drawer and that it is equally likely that any one of the socks is drawn. Find the probabilities for each of the following: a. The sock is brown b. The sock is either black or green c. The sock is red d. The sock is not black
- a and b working together can do a given job in 4 days, b and c together can do the job in 3 days, and a and c together can do it in 2.4 days. in how many days can they finish the job all together? Answer is 7 days. Please show your solution.There are 40 pairs of gloves in Bills’ glove basket, but the 80 individual gloves are completely mixed up.a. If 20 gloves are randomly selected, find the probability they include Bills’ favorite pair of gloves.b. If 20 gloves are randomly selected, what is the probability that at most one glove from each of the40 pairs will be picked? (Remember, a left glove is different from a right glove.)Guadalupe plays a game where she draws one card from a well-shuffled standard deck of 52 cards 2. She wins the game if the card she draws is a King or an Ace Are the two events mutually exclusive? O There is not enough information to determine if the two events are mutually exclusive. O The two events are mutually exclusive. O The two events are not mutually exclusive. What is the probability that Guadalupe wins the game? What is the probability that Guadalupe loses the game?
- You have a bag of fourteen candies; 2 each of purple, green and yellow, and 4 each of pink and red. Calculate the following probabilities. Answer in fractions 2)What is the probability of choosing a purple first,then replacing it back into the Bag, and then choosing a red?a. You are going to choose a number randomly from the set { 3, 4, 5, 6, ... 19, 20). What is the probability that the number will be divisible by 5 given that the number is even? b.In CSE230, there were 2 assignments this semester. The probabilities that you would get full marks in the first and second assignments are 0.32 and 0.41 respectively. Now, if you get full marks in the first assignment that makes your probability of getting full marks in the second assignment as 0.53. What is the probability of getting full marks in the first assignment given that you got full marks in the second assignment?3. All of the morning math classes are filled & Lisa has a decision to take either Mrs. Fowler or Mr. Williams in the afternoon, what is the probability of Lisa taking a Mrs. Fowler or Mr. Williams in the afternoon? 4. Lisa's school counselor informs her all of Mrs. Fowlers classes are filled. The school adds another teacher Mrs. Jackson. She will teach (1ª, 3rd, 5th, and 6th). What is now the probability of getting Mrs. Jackson for math in the morning?