🎲 probability

1. **Problem statement:** Maddie rolled a six-sided dice 50 times and it landed on an even number 24 times. We need to find: a) The relative frequency of landing on an even number.

1. **Problem Statement:** You select a marble from a set of 8 marbles (7 pink and 1 purple) with replacement 8 times. We want to predict the expected number of times you will pick

1. **State the problem:** We are given that out of recent sundaes sold, 5 had nuts and 10 did not. We want to find how many of the next 6 sundaes sold would be expected to have nut

1. **Problem Statement:** A bag contains 5 balls numbered 1 to 5. Two balls are drawn one at a time without replacement.

1. **Problem statement:** A manufacturer shipped 53 cameras, 4 of which are defective. The store sold 30 cameras before discovering defects. We want the probability that at least o

1. **State the problem:** Georgina surveys 25 people. 6 like hockey, 8 like rugby, and 16 like neither. We need to find the probability that a person who likes rugby also likes hoc

1. **State the problem:** We have two bags with marbles: - Bag 1: 1 green (G), 1 red (R), 2 blue (B)

1. **Problem:** Find the probability that either Jack or Bill will win the game, given that the probability Jack wins is $\frac{1}{5}$ and the probability Bill wins is $\frac{1}{4}

1. **Problem:** Find the probability that a randomly drawn card from 12 cards numbered 1 to 12 is divisible by 3 and even. 2. **Formula:** For two events A and B, the probability o

1. Асуудлыг тодорхойлж эхэлцгээе: Нэг удаагийн туршилт амжилттай болох магадлал $p=\frac{3}{4}$, амжилтгүй болох магадлал $q=1-p=\frac{1}{4}$. 10 удаагийн туршилтыг хоёр хэсэгт хув

1. **Problem:** A bag contains 5 red balls numbered 1, 2, 3, 4, 5 and 9 white balls numbered 6 through 14. Find the probability that a ball drawn is red and even-numbered. 2. **For

1. **Problem statement:** A bag contains 5 red balls numbered 1, 2, 3, 4, 5 and 9 white balls numbered 6, 7, 8, 9, 10, 11, 12, 13, 14. We want to find: (a) The probability that the

1. Problem 28: Find the probability that a randomly selected registered voter in Belair will vote for the Democratic candidate. 2. Formula: Probability $P = \frac{\text{Number of f

1. **Problem statement:** A company produces baseballs, softballs, tennis balls, and handballs in the ratios 40%, 30%, 10%, and the remainder respectively. We want to find the prob

1. **Problem statement:** We have a discrete random variable $Y$ with probability generating function (PGF)

1. **Problem statement:** We are given the probability generating function (PGF) of a discrete random variable $Y$ as $$G_Y(t) = \frac{a + b t^3}{l}$$ where $a$ and $b$ are constan

1. **Problem Statement:** We have a discrete random variable $X$ representing the number of heads when tossing three fair coins. The probability distribution is given by:

1. The problem involves determining the likelihood (probability) of selecting apples of certain colors from a bag and identifying spinners with equal chances of landing on 1 or 2.

1. **Problem statement:** We have two normal random variables $X \sim N(7,a^2)$ and $Y \sim N(19,a^2)$ with $a>0$. (a) Find $b$ such that $P(X>b) = P(Y>22)$.

1. **Stating the problem:** We are given the probability mass function (PMF) of a Poisson random variable $X$:

1. **Problem statement:** We have 4 red, 3 blue, and 5 green identical balls in a bag. We pick 3 balls at random without replacement. We want to find the probability that all three