Alice tosses a fair coin and throws a 6-sided die. Then, Bob tosses a fair coin and throws a 6-sided die too. If the sides they got for the coin flips are the same, Alice wins. If the sides they got for the coin flips are different, then whoever got the bigger number for their die roll wins. Otherwise, it's a tie.  What is the probability of a tie?

Q: Jack and Tim play a rock-paper-scissors game. They play a total of 3 independent games, the one who…

A: Given the games played independently Therefore, Winning of game is equally likely Probability Jack…

Q: You roll a standard die 3 times. What is the probability you roll a 6 on the first roll, an even…

A: If standard die is rolled than the possible outcomes ares=(1,2,3,4,5,6)No.of even numbers=3…

Q: If two cards are drawn without replacement from an ordinary​ deck, find the probability of a king…

A:

Q: Tony and Sam play chess (either of them wins, draw is not allowed).  If Tony plays White,…

A: It is given that the probability that  Tony wins using white is 0.72. So, the probability that Sam…

Q: You are dealt one card from a standard 52 card deck . Find the probability of being dealt the two of…

A: A card is dealt from a standard deck of 52 (= n) cards.

Q: Assuming that σ1 = 1.6 and σ2 = 1.3, test H0: μ1 − μ2 = 0 versus Ha: μ1 − μ2 > 0 at level 0.01.…

A:

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 drawn at random from an ordinary deck of 52 cards. Find the probability that the…

A: The provided information is There are 52 cards of deck. We find the probability the 2-card hand…

Q: What is the probability that the three balls drawn are the same color

A: we are given that there are 5 black and 7 green balls balls are drawn thrice and the drawn balls are…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: Two dice are rolled. Find the probability that the sum of the dice is not more than 6

A: If we roll two dice then there are total 36 outcomes. n=36 we can show the outcomes with the help of…

Q: In a deck of 52 cards, find the probability of getting an ace or a king if one card is picked at…

A: When two events (call them "A" and "B") are Mutually Exclusive it is impossible for them to happen…

Q: A game show has 5 doors concealing prizes. There are new cars behind 2 doors and consolation prizes…

A:

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: Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second…

A: no.of black cards=26no.of Ace cards=4Total no.of cards=52

Q: A box contains 3 red balls and 4 blue balls. If two balls are drawn in succession, what is the…

A: Given that  Total balls=3+4=7 Red balls=3 Blue balls=4 Find  P(red and other blue)

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 the game between two cards are dealt what is the probability of winning if a 5 and jack are dealt

A:

Q: In deandres cooler there are 5 bottles of soda and 4 bottles of water. Deandre is going to choose 5…

A: Probability is equal to the number of favorable outcomes divided by the total number of possible…

Q: Fred and Wilma argue over how many children they should have. Fred wants at least 5 boys. If Fred…

A:

Q: You draw 2 cards from a standard deck of 52 cards. Find each probability. If the first one is…

A: Given that 2 cards are selected from standard deck of 52 cards. Here, 2 cards are selected with…

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: rolled and the numbers are noted. Find the probability that the sum of the numbers is 4 o

A: Two dice are rolled. The numbers are noted.

Q: A couple has four children . Find the probability that there are exactly two boys and two girls

A: Probability of a boy (p) = 1/2 = 0.5  Probability of a girl (p) = 1/2 = 0.5  Number of children (n)…

Q: Suppose we flip a fair coin 20 times getting 6 tails and 14 heads. Find the probability of having no…

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: If two players play this game

A: Fair means The coin has to get a chance heads or tails is 50-50%. unfair coins having more chances…

Q: A bag contains 6 white and 4 black balls . two balls are drawn at random . Find the probability that…

A: Given: White balls = 6 Black balls = 4

Q: You are dealt one card from a 52-card deck. Find the probability that you are not dealt a club.

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: fair coin is flipped 5 times. Find the probability of flipping exactly 4 head

A: Given that  A fair coin is flipped 5 times. (n) = 5  The result may be heads or tails.   We know…

Q: If you roll 6 six-sided dice, find the probability that the sum of the dice is greater than 7.

A: A six-sided die is rolled 6 times. The objective is to find the probability that the sum of the dice…

Q: If 25 dice are rolled, find the probability the three 6s are seen.

A:

Q: You are dealt one card from a 52-card deck. Find the probability that you are dealt a red 7 or a…

A: Given: Number of cards in a deck = 52 Number of 7 red = 2  Number of 8 black = 2

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.