🎲 probability

1. **Problem Statement:** We have two problems involving probability based on frequency tables.

1. **Problem:** Find the probability that a randomly chosen fisherman was fishing far from shore and caught bangus. 2. **Formula:** Probability of an event = \( \frac{\text{Number

1. The problem is to understand and solve a question involving a tree diagram. 2. A tree diagram is a graphical representation used to list all possible outcomes of an event or ser

1. Let's explore a random problem involving a tree diagram. 2. Problem: Suppose you have a bag with 3 red balls and 2 blue balls. You draw two balls one after the other without rep

1. Problem: Find the probability that all three children are boys if a couple has three children. Formula: Probability of all boys = $\left(\frac{1}{2}\right)^3$ since each child c

1. **Problem statement:** There are 8 students who prefer maths (M) and 3 who prefer English (E). The teacher calls on two students with replacement. We want to find the probabilit

1. Problem: Given three boxes with capacitors of different values, find probabilities related to selecting capacitors. 2. For i) Probability of selecting a 0.01-μF capacitor given

1. **Problem Statement:** We are given probabilities related to a person's travel choices: fractions 2/9, 1/9, 2/5, and 3/7. We need to understand the concepts of certain and impos

1. **Problem statement:** We have two independent random variables $Y_1$ and $Y_2$ with probability density functions (pdfs) $$f_1(y_1) = 6y_1(1 - y_1), \quad 0 \leq y_1 \leq 1$$

1. **Problem Statement:** The number of cars arriving at the station in an hour follows a Poisson distribution with an average rate $\lambda = 5$ cars per hour.

1. **Problem statement:** A gardener planted 20 tomato seeds with a 50% chance each seed will germinate. 2. **Relevant formula:** This is a binomial probability problem where the n

1. The problem involves understanding the probabilities of an event $X$ and its complement $\text{not } X$. 2. By definition, the probability of an event $X$ is denoted as $P(X)$,

1. **Stating the problem:** We have a coin flip (2 outcomes: heads or tails) and a roll of a number cube (6 outcomes: numbers 1 through 6). We want to find:

1. **State the problem:** We have 11 students in Ms. Gray's class with memberships in Art Club (A) and Dance Club (B). We want to find various probabilities related to these events

1. **Problem Statement:** We have 14 students in Ms. Evans's class. The Tennis Club members are Felipe, Leila, Eric, Hong, Debra, Raina, Christine, Aldo, Rachel (9 total including

1. **Stating the problem:** We have two events $A$ (Chess club members) and $B$ (Science club members) with given probabilities: $$P(A) = \frac{9}{13}, \quad P(B) = \frac{5}{13}, \

1. Problem: Find the probability that no husband sits next to his wife when 4 married couples are arranged in a row. Step 1: Total number of ways to arrange 8 people is $$8!$$.

1. Problem: Find the probability that no husband sits next to his wife when 4 married couples are arranged in a row. Step 1: Total number of ways to arrange 8 people is $$8!$$.

1. **Problem 1: Drawing a tree diagram and finding probabilities for card suits** - A deck has 52 cards, 13 cards per suit (hearts, clubs, diamonds, spades).

1. Diberikan probabilitas: - $P(A) = 0.25$

1. **State the problem:** We want to find the probability that a card drawn from a standard deck of 52 cards is either a heart or a king. 2. **Recall the formula for the probabilit