🎲 probability

1. **Stating the problem:** We have a probability distribution for the number of smartphones $Y$ owned by households in a certain income bracket. We need to find probabilities for

1. **نص السؤال:** إذا تم رمي عملة معدنية 3 مرات، ما هو احتمال الحصول على وجهين (رأسين) بالضبط؟ 2. **صيغة الاحتمال:** احتمال الحصول على عدد معين من النجاحات (رأس) في عدد معين من الت

1. **Stating the problem:** We want to find the mean and standard deviation of the total money collected from selling adult tickets at 10 each and children tickets at 6 each on a r

1. **Énoncé du problème** : On lance deux fois un dé équilibré. On définit les événements : - $A$: la somme des numéros obtenus est paire.

1. **State the problem:** We have a basketball player with the following probabilities:

1. **Problem statement:** We have 120 learners choosing subjects: Foods and Nutrition (F), Fine Art (A), and Chinese (C). Given data: - Total learners $=120$

1. **Problem Statement:** Find the probability that both cards drawn without replacement from a standard deck of 52 cards are black.

1. **Problem statement:** A bag contains 6 red, 4 blue, 2 green, and 3 yellow marbles. Three marbles are picked at random. Find the probability that 2 are blue and 1 is yellow. 2.

1. **State the problem:** We are given that 20% of the people in Tamale have unlisted telephone numbers. We select 200 people at random and want to find how many are expected to ha

1. **Problem Statement:** We have three girls Aisha, Betty, and Cate packing juice bottles. The probabilities that a crate is packed by Aisha, Betty, and Cate are 55%, 30%, and 15%

1. **Problem statement:** A card numbered from 1 to 9 is selected randomly, and a fair six-sided die is rolled once. We want to find the probability that the sum of the two numbers

1. **State the problem:** We have probabilities related to Steve's punctuality and weather conditions. We want to find:

1. **Problem statement:** We analyze a game where a coin is tossed repeatedly up to 5 times. Each time "Pile" (heads) appears, the payout doubles starting from 2. The game ends eit

1. The problem is to write the formula for the expected value $E(X)$ of a continuous random variable $X$. 2. The expected value is defined as the integral of $x$ times its probabil

1. **Problem statement:** We want to find the probability that a binomial random variable $X$ with parameters $n=10$ and $p=0.3$ takes the value 3, i.e., $P(X=3)$. 2. **Formula:**

1. **Restate the fourth point:** We need to calculate the binomial coefficient $\binom{10}{3}$, which counts how many ways we can choose 3 successes out of 10 trials. 2. **Formula

1. **State the problem:** We want to find the probability that a binomial random variable $X$ with parameters $n=10$ and $p=0.3$ takes the value 3, i.e., $P(X=3)$. 2. **Formula:**

1. **State the problem:** We roll a six-sided die 12 times and want to find the probability of getting the number 4 exactly 5 times. 2. **Identify the distribution:** This is a bin

1. **State the problem:** We want to find the probability that a binomial random variable $X$ with parameters $n=10$ and $p=0.3$ takes the value 3, i.e., $P(X=3)$. 2. **Formula:**

1. Soal pertama: Diketahui ada m bola merah dan m bola putih, total 2m bola. Peluang terambil dua bola dengan warna sama adalah $\frac{4}{9}$.\n\n2. Rumus peluang terambil dua bola

1. The problem is to draw a probability tree, which is a diagram used to represent all possible outcomes of a sequence of events and their probabilities. 2. A probability tree star