You have two fair coins and a biased coin in a bag. The probability for heads showing up on a toss of the biased coin is . You randomly pick one of the three coins and toss it six times. What is the probability that you have exactly three heads in your six tosses?

Q: golf ball is selected at random from a golf bag. If the golf bag contains 8 black ​balls, 11 yellow…

A:

Q: An office has 14 men and 13 women employees.  Three employees are picked at random for a trip to…

A:

Q: You roll a​ six-sided die. What is the probability of rolling a 6 or a number greater than 3? What…

A: We want to find the probability

Q: You draw one card from a 52 card deck. Then the card is replaced in the deck, the deck is shuffled,…

A:

Q: Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

A:

Q: You have four toonies and three loonies in your pocket. You pull one coin out and then pull out…

A: We have 4 toonies and 3 loonies  Total coins = 7

Q: Three people are selected randomly from a group consisting of 5 parents and 9 children. Find the…

A: Ans# - Given three people are selected randomly from a group consisting of 5 parents and 9 children.…

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: John rolled a pair of dice. What is the probability that they would sum to 6?

A: In general, there are 36 possible outcomes when rolled a pair of balanced dice.

Q: Find the probability of the given event. A bag contains 4 red marbles, 6 blue marbles, and 9 green…

A:

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 roll a fair die twice. What is the probability of getting a 2 or a 5 on the first throw and a 1…

A:

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 have a 30-sided dice. Your friend Hugo has three favorite numbers: 5, 3, and 10. What is the…

A: Given You have a 30-sided dice. Your friend Hugo has three favorite numbers: 5, 3, and 10.

Q: What is the probability if you randomly select a handful of 4 candy pieces you will pick one of each…

A: Solution: From the given information, there are 5 brown candy pieces, 7 blue candy pieces, 3 red…

Q: sea has five nickels, three dimes, and seven pennies in his pocket. If he randomly Ks 2 coins…

A: To find the probability of Hosea choosing a nickel then a penny.

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: 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: 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: What is the probability that all 3 cards are Queens?

A: Number of Queen cards = 4 Total number of cards = 52 Define some events A: first card is Queen B:…

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…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.