For a normal die, the sum of the dots on opposite faces is 7. Shown in the figure is a pair of trick dice in which the same number of dots appears on opposite faces. Find the probability of rolling a sum of (a) 7 (b) 8

Q: Find the probability of winning in American-style roulette when betting on the first six numbers, 1…

A: Number of wheels in American-style roulette =38 Bet consists of 6 numbers

Q: Denni has 15 coins in his pocket, and 6 of them are toonies. He reaches into his pocket and pulls…

A:

Q: Assume that you select 2 coins at random from 8 coins: 3 dimes and 5 quarters. What is the…

A:

Q: Emerson wins 28% of all chess games. What is the probability he wins two in a row?

A: Assuming the two games are independent, P( He wins two in a row)= P( He wins the first game)*P(He…

Q: Sam is going to throw a dart at a dartboard in a local establishment.  Sam figures that the dart…

A: Sam figures that the dart will hit the bullseye or it won't.

Q: At a hot air balloon festival, Chandler made note of how many passengers were in each balloon and…

A:

Q: A high school baseball player has a 0.245 batting average. In one game, he gets 5 at-bats. What is…

A: The probability mass function of Binomial distribution is,  P(X= x) = nCx (p)x (1-p) n-x ; x=…

Q: Find the probability of throwing a sum of 4 at least 2 times in 4 throws of a pair of fair dice.…

A: on sigle dice the outcome may be {1,2,3,4,5,6}when throw 2 dice, no. of possible outcomes = 36roll…

Q: Jessica tosses a 50p coin twice. What’s the probability she’ll get two heads?

A: The number of times Jessica tosses a 50p coin=2

Q: Yvonne tosses three coins. She is calculating the probability that at least one coin will land as…

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Q: Find the probability of throwing a sum of 3 at least 3 times in 10 throws of a pair of fair dice.

A: It is given that a pair of fair dice thrown 10 times.

Q: Ray is spinning a four colored spinner (red, yellow, green and blue). He is also rolling a six sided…

A: The experiment is spinning a four-colored spinner (red, yellow, green, blue) and rolling a six-sided…

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: Calvin makes 65% of the penalty kicks he takes. He is practicing penalty kicks with his friend…

A: From the provided information, Sample size (n) = 10 Calvin makes 65% of the penalty kicks he takes…

Q: Marco is a basketball player who succeeds 90% of his free throws. What is the probability that he…

A: the probability that Marco succeeds in minus 7 of his next 10 free throws, you can use the binomial…

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: A radio disc jockey has 8 songs on this upcoming hour's playlist: 3 are rock songs, 2 are reggae…

A: Given information: Total number of songs on this upcoming hour's playlist = 8 Number of rock songs =…

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: What is the probability that she will not have to stop at the light all next week?

A: It is given that the probability that the light will be red is 65% = 0.65

Q: A basketball player traditionally makes 80% of her free throws. Suppose she shoots 10 baskets and…

A: We have given that,  X be the random variable from binomial distribution with probability (p)= 80% =…

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: Camilia sets up a passcode on her tablet, which allows only nine digit codes. A spy sneaks a look at…

A: According to the question, the password has a 9 digit code. Given that the spy sees her fingerprints…

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

A:

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.