🎲 probability

1. **Problem statement:** Find the probability that a randomly selected patio table is Blue or Small. 2. **Given data:**

1. **Problem Statement:** We are given a binomial probability scenario where a surgical technique has a 70% chance of success per patient, and it is performed on 7 patients. We wan

1. **Problem Statement:** We have two binomial probability problems involving quizzes where a student guesses answers.

1. Problem: A student guesses on a 4-question true/false quiz. Find the probability of exactly 75% correct answers. 2. Formula: Use the binomial probability formula:

1. **State the problem:** A salesperson has a 65% chance of selling a computer to a customer. We want to find the probability that all three customers will buy computers when the s

1. **State the problem:** We have a spinner with 4 equal sections labeled 1, 2, 4, and 3. Sections 1 and 4 are shaded. We need to find which pairs of events are mutually exclusive.

1. **Problem statement:** We have a dartboard with three concentric circles of radii 2 cm (red), 6 cm (yellow), and 8 cm (green). We want to find:

1. The problem asks for the probability that a student plays a musical instrument and the probability that a student is a junior who does not play a musical instrument. 2. Probabil

1. **Problem:** Two balls are drawn in succession without replacement from a box containing 5 red balls and 6 blue balls. Let $Z$ be the random variable representing the number of

1. The problem asks to identify which pairs of events are independent in a probability experiment. 2. **Definition of independent events:** Two events A and B are independent if th

1. The problem asks for the experimental probability that Tina will miss two free throws in a row. 2. Experimental probability is calculated by dividing the frequency of the desire

1. **Stating the problem:** We need to analyze how the probability models for Viet, Quinn, and Lucy change when the total numbers in the game increase from 75 to 90, matched with t

1. **Stating the problem:** We have a Bingo game with letters B, I, N, G, O each associated with a range of numbers: - B: 1-15

1. **State the problem:** Yasmin has a bag with 165 colored beads. The table shows the number of beads selected for each color in an experiment where beads are drawn, recorded, and

1. **Stating the problem:** Jessica wants to know how many winners to expect on Monday if there are 750 contestants, based on previous days' data.

1. **State the problem:** Two number cubes (dice) each numbered 1 through 6 are rolled 300 times. We want to find how many times the sum of the two dice is exactly 7. 2. **Formula

1. **State the problem:** We want to find the theoretical probability that the product of two rolled number cubes (each numbered 1 to 6) is greater than 10. 2. **Understand the sam

1. **State the problem:** Mrs. Cox picks two marbles with replacement from a bag containing 5 blue, 4 red, and 3 orange marbles. We want the probability that neither marble picked

1. **State the problem:** We need to find the probability that a real number picked randomly from the interval between 2 and 7 lies within that interval. 2. **Understanding the pro

1. **Problem statement:** We are given a probability distribution over the interval from 0 to 10, divided into regions A, B, C, and D with areas 0.10, 0.30, 0.45, and 0.15 respecti

1. **State the problem:** We need to identify which events are dependent among the given scenarios. 2. **Definition:** Events are dependent if the outcome or occurrence of the firs