🎲 probability

1. Problem: Find the experimental probability of drawing red from the bar graph. The formula for experimental probability is:

1. **Problem Statement:** Austin rolls a red die and a black die, both six-sided. The red die shows 4. Austin wins a point if the sum of the two dice is greater than 8. 2. **Part a

1. **Problem statement:** A machine produces on average 2.5 defects per hour. We want to find probabilities for different numbers of defects in one hour. 2. **Formula used:** This

1. **State the problem:** We have a group of students: 4 Ateneans, 3 Lasallians, 2 Dilimanians, and 1 Thomasian, totaling $4+3+2+1=10$ students. We want to find the probability tha

1. **Stating the problem:** We have 5 onions and 4 potatoes, with 2 onions and 2 potatoes rotten. We want the probability that if two items are randomly picked, they are both eithe

1. **Problem statement:** Osas buys notebooks and exercise books with at least one of each, total books up to 8. Each valid combination is equally likely. 2. **Define variables:**

1. **Problem:** A bag contains 10 black balls and 15 white balls. If a ball is picked at random without replacement, what is the probability of picking a white ball? 2. **Formula:*

1. Problem: Find the probability of selecting a figure which is a parallelogram from the given figures: square, rectangle, rhombus, kite, and trapezium. 2. Formula: Probability = \

1. **Problem:** Find the probability of drawing a letter from the sequence \{1, A, e, 2, 3, b, 5, E\}. 2. **Step 1:** Identify total number of cards: $8$.

1. **مشكلة التمرين 4:** نحدد مجموعة القيم الممكنة للمتغير العشوائي $X$ الذي يمثل عدد الرجال الذين يتحدثون لغة أجنبية ثانية.

1. **بيان المشكلة:** لدينا صندوق يحتوي على 3 كتب للغة العربية، 2 كتب للغة الفرنسية، و1 كتاب للرياضيات. نسحب 3 كتب عشوائياً في آن واحد.

1. Problem statement: Given the data: 35 used Longhorn, 20 used Baroque and 17 used Maths Clinic; 9 used Longhorn and Maths Clinic, 3 used Longhorn and Baroque, 8 used Baroque and

1. **State the problem:** Paul receives 8 milk candies, 6 chocolate candies, and 10 butter candies. We want to find the probability that Paul will eat milk or chocolate candies (a)

1. **Problem Statement:** We want to create an example of a binomial distribution and verify its consistency property. 2. **Definition:** A binomial distribution models the number

1. **State the problem:** We have 75 learners playing at most two games among football (F), volleyball (V), and netball (N). Given data: - Only football: 9

1. **Stating the problem:** A cube with 3 black faces and 3 white faces is thrown. If a black face appears, a card is drawn from box A containing cards labeled P, M, R. If a white

1. **State the problem:** We have a random variable $x$ that follows a Poisson distribution with parameter $\lambda = 4$. We want to find the probability $P(x=0)$. 2. **Recall the

1. **State the problem:** A number is selected from the set $\{1, 2, 3, \ldots, 50\}$. Given that the number is divisible by 7, find the probability that it is odd. 2. **Identify t

1. **Stating the problem:** A number is selected from the set \(\{1, 2, 3, \ldots, 48, 49, 80\}\). Given that the number is divisible by 7, we want to find the probability that it

1. **State the problem:** We have a discrete random variable $X$ with values $77, 78, 79, 80, 81$ and corresponding probabilities $0.15, 0.15, 0.20, 0.40, 0.10$. We need to find: a

1. **Stating the problem:** Consider a bag containing 5 pebbles: 2 red, 2 blue, and 1 green. We randomly select one pebble. Define the random variable $X$ as the color of the pebbl