Determine the following probabilities. Enter your final answes as reduced fractions. Two marbles are chosen at random from a jar of 18 marbles without replacement. There are 8 blue marbles, and 10 red marbles. What is the probability that the first marble chosen is blue and the second marble chosen is blue?

Q: In a candy jar, there are 19 blueberry and 13 cherry gumballs. If you randomly select two gumballs…

A: Given Blueberry 19 Cherry 13

Q: Consider a jar of marbles that contains 5 blue, 3 red, 8 green, and 7 yellow marbles. Select a…

A: From given data, P(Green marble)=8/23 P(green marble for the first time before the fourth attempt)=?…

Q: A bag contains 5 red marbles, 9 white marbles, and 6 blue marbles. Randomly choose two marbles, one…

A: According to the given information, we have Red marbles = 5 White marbles = 9 Blue marbles = 6 Total…

Q: In a bag there are 6 white marbles and 16 black marbles. Four marbles are drawn without replacement.…

A: Hi! Thank you for the question! Since the question contains four subparts and we are allowed to…

Q: One student is to be selected at random from a group of 7 freshmen, 5 sophomores, 8 juniors, and 3…

A: 7 freshmen, 5 sophomores, 8 juniors, and 3 seniors  Total=23

Q: In a drawer, there are 12 pairs of socks, 8 of which are white. If you randomly select two pairs of…

A: GivenTotal no. of pair of socks=12No.of white pair of socks=8

Q: Dave's wardrobe contains 14 T-shirts, of which 12 are gray. Dave selects a T-shirt at random. What…

A: From the provided information, Dave’s wardrobe contains 14 T-shirts. From which 12 are gray…

Q: A box contains 5 red marbles, 6 white marbles, and 8 blue marbles. If a marble randomly selected…

A: Given that Red marble = 5 White marble = 6 Blue marble = 8 Total marble = 6 + 5 + 8  = 19

Q: Julia buys a bag of cookies that contains 8 chocolate chip cookies, 8 peanut butter cookies, 9 sugar…

A:

Q: Three people are selected for a committee from 7 Democrats and 5 Republicans. What is the…

A: Given information: Frequency of Democrats, d = 7 Frequency of Republicans, r = 5 A committee of x =…

Q: You order 13 pizzas, five that are cheese and eight that are mushroom. They arenot labelled on their…

A: There are total 13 boxes.  We can pick any 5 boxes from those 13 boxes in 13C5 ways.    If we want…

Q: 7 total students and 20 total faculty to pick from. You want to have 10 total people on the…

A: Given data: Total number of students = 7 Total number of faculty = 20 Number of people to be…

Q: There are 3 red, 1 blue and 2 purple marbles in a bag. Once a marble is selected, it is replaced.…

A: There are total (3+1+2)=6 marbles We can pick 2 marbles with replacement in 62 =36 ways     We can…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: In a drawer, there are 13 pairs of socks, 10 of which are white, and 8 t-shirts, 5 of which are…

A: Here in a drawer there are 13 pairs of shock from which 10 are white. 8 t-shirts from which 5 are…

Q: Billy selects some cards from a standard 52 card deck.  What is the probability that he selects 1…

A: Given data: The total numbers of cards in the playing deck are n=52. The numbers of hearts are h=13.…

Q: An office has 6 men and 12 women employees.  Three employees are picked at random for a trip to…

A:

Q: You carry seven keys in your pocket, two of which are for the two locks on your front door. You lose…

A: When we are working on probability, we are talking about uncertainty. When a coin is tossed, we do…

Q: You randomly select one card from a​ 52-card deck. Find the probability of selecting the king of…

A: It is known that Number of cards in a deck = 52 Number of king of diamonds = 1 Number of two of…

Q: In a bag there are 6 white marbles and 16 black marbles. Four marbles are drawn without replacement.…

A:

Q: An introductory nursing class has 9 freshman males, 15 freshman females, 8 sophomore males, and 12…

A: Given data, freshman males=9 freshman females=15 sophomore males=8 sophomore females=12 Total =44…

Q: The names of 9 boys. and 9 girls are in a hat. What is the probability of first drawing a girl's…

A: The names of 9 boys. and 9 girls are in a hat. Total =18

Q: A bag contains 2 gold marbles, 10 silver marbles, and 26 black marbles. You randomly select one…

A: Given data, No of gold marbles=2 No of silver marbles=10 No of black marbles=26 Total no of…

Q: Suppose you are going to form a committee of students and faculty. You have 6 total students and 16…

A:

Q: A bag contains 1 gold marbles, 6 silver marbles, and 30 black marbles. You randomly select one…

A:

Q: There are 9 people in a group. They are picking straws to see who has to clean the house. If 1 more…

A: Total number of persons in the group originally = 9 When 1 women entered in the group then  Total…

Q: A cooler contains 100 ice cream bars. There are 30 Vanilla​ bars, 20 Mint Chocolate Chip​ bars,10…

A: Given :- Number of ice cream bars a cooler contains = 100. Number of vanilla bars = 30 Number of…

Q: A box of chocolates has 25 identical pieces of candy, but some of the chocolates have different…

A: Given : Box of candies have 25 identical pieces              number of caramel = 11…

Q: A bag contains 7 RED beads, 8 BLUE beads, and 5 GREEN beads. If a single bead is picked at random,…

A: No.of red beads=7no.of blue beads=8no.of green beads=5Total no.of beads=20

Q: A card is drawn and replaced four times from a deck of 52 cards. What is the probability of drawing…

A: There are 52 cards in a standard deck, out of which 13 are spades.