There are 7 yellow, 5 green, and 3 blue party hats in a bag. You randomly choose a yellow party hat and put it on. Then your friend randomly chooses a yellow party hat. What is the probability of both of you choosing a yellow party hat?

Q: A fun size bag of M&Ms has about 17 candies. You open one of the bags and discover: 3 Blues, 4…

A: From the information, given thatThe total number of candies=17The total number of blue candies =…

Q: There are 5 dark chocolates, 8 milk chocolates in a box. If one chocolate is selected from the…

A: Answer: From the given data, Number of dark chocolates in the box = 5 Number of milk chocolates in…

Q: There are 5 boys and 8 girls in a room. What is the probability that group of five have more boys…

A: There are 5 boys and 8 girls in a room.  TOTAL 13 people in room here use hypergeometric…

Q: A bag contains 4 red marbles and 7 blue marbles. You randomly pick a marble, return it to the bag,…

A: The number of red marbles is 4 and the number of blue marbles is 7.

Q: A box1 contains 9 red and 6 black balls. Another box2 contains 4 red and 5 black balls. One ball is…

A:

Q: A class has 20 students, 5 boys while the remaining students are girls. They are randomly divided…

A: Given information- We have given that a class has 20 students. No. of boys = 5 No. of girls = 15 We…

Q: Todd and Tiff both train pets. Todd trains 30% of pets and Tiff trains 70% of pets. Todd’s pets are…

A: Given that P(Todd trains)=0.30 P(Tiff trains)=0.70 P(female| Todd) =0.55 P(female| Tiff) =0.65

Q: A bag contains 2 red Roses, 4 yellow Roses and 6 pink Roses. Two roses are drawn at random. What is…

A: Bag contain 2 red, 4 yellow, and 6 pink roses. Two roses are selected at random.

Q: A box contains 4 chocobars and 4 ice creams. Tom eats 3 of them one after another. What is the…

A: Given,no.of chocobars=4no.of ice creams=4total no.of items=8

Q: There are 20 sides to the messages.  What is the probability of getting the same message 2 times in…

A: The probability of getting a specific message on the first try is 1/20,since there are 20 total…

Q: Damon has 14 white socks, 6 black socks, and 4 blue socks in his drawer. If he chooses two socks at…

A:

Q: The probability of selecting a four-person committee with one Democrat and three Republicans is .

A:

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: 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: You have 3 tops: green, white, and yellow. You have 2 pairs of pants: blue and black. You have 2…

A: To find the probability that a random outfit will have a yellow shirt or black pants.

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: Three people are selected for a committee from 7 Democrats and 3 Republicans. What is the…

A: It is an important part of statistics. It is widely used.

Q: Brad has to select 5 students from a class of 43 girls and 21 boys. What is the probability that…

A: GivenNo.of girls in a class = 43No.of boys in a class = 21Total no. of boys = 64

Q: You have 3 tops: green, white, and yellow. You have 2 pairs of pants: blue and black. You have 2…

A: Given data: The numbers tops are T=3. The numbers pants are P=2. The numbers of shoes are S=2.

Q: Two boxes are selected randomly. The first box contains 2 white balls and 3 black balls. The second…

A:

Q: A bag containing marbles has 4 red, 5 green and 6 yellow marbles. What is the probability of…

A: Given Data:   n(R)=4 n(G)=5 n(Y)=6   Total=6+5+4=15

Q: A bunch of mixed colored roses has 5 red roses, 3 pink roses, 2 white roses, and 2 yellow roses.…

A: Given, A bunch of mixed colored roses has 5 red roses, 3 pink roses, 2 white roses, and 2 yellow…

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: 60 boys and 20 girls are there in a class. Half of the boys and half of the girls of the class play…

A: There are 60 boys and 20 girls in the class. Half of the boys and half of the girls of class play…

Q: A bag contains 9 pennies, 6 nickels, and 5 dimes. If a coin is randomly selected from the bag, then…

A:

Q: There are 6 red eggs and 8 green eggs in a tank. Joe reaches in and randomly eats 4 eggs. What is…

A: Given: Number of red eggs, n(R)=6. Number of green eggs, n(G)=8. Total number of eggs, N=14.…

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 box1 contains 9 red and 7 black balls. Another box2 contains 6 red and 4 black balls. One ball is…

A:

Q: There is a jar of coins sitting on the table in the center of the room. The jar contains 9 pennies,…

A: given data   jar contains : 9 - pennies    1 cent 12 - nickles  - 5 cent 10 - dimes  - 10 cent 5 -…

Q: Dad’s music collection includes 5 rock music albums, 3 classical music albums, and one love song…

A: Given that  Total music albums = n = 5 + 3 + 1 = 9 Rock music albums = 5 Classical music albums = 3…

Q: A basket contains 27 good apples and 3 bad ones. What is the probability of choosing a bad apple?

A: Given that  Total number of apples=27+3=30 27 good apples and 3 bad apples.

Q: A varsity hockey team has 7 juniors and 40 seniors.  The coach needs to pick 7 players to play a…

A: The term probability is defined as the chance of occurrence of an event. The probability value…

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…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.