🎲 probability

1. **State the problem:** Lonnie threw 50 free throws and missed 16. We want to predict how many free throws Lonnie will make out of 75 throws. 2. **Find the number of successful t

1. **State the problem:** Tia flipped a coin 200 times, getting heads 92 times and tails 108 times. We need to identify which statement about the ratio $\frac{92}{200}$ is true.

1. **State the problem:** We have a spinner with results from an experiment showing frequencies for colors Blue, Red, Green, and Yellow. We want to find the experimental probabilit

1. The problem involves understanding and calculating probabilities given fractions such as $\frac{1}{9}$, $\frac{2}{9}$, $\frac{1}{3}$, and $\frac{4}{9}$.\n\n2. Probability is a m

1. **State the problem:** We are given a six-sided number cube rolled 18 times, and the number two appears 4 times. We want to find the experimental probability of rolling a two. 2

1. **State the problem:** Sanja made 8 successful holes-in-one and missed 4 times, so we want to find how many holes-in-one she should expect to make if she attempts 24 holes. 2. *

1. **Problem statement:** (b) Given the probability of scoring a penalty is $0.7$, find:

1. **State the problem:** We have 386 students signing up for trips to Thailand, Egypt, and Chile with given percentages for each country and their intersections, including those w

1. **State the problem:** Mark draws one card from a standard deck of 52 cards. He receives 0.35 if the card is a diamond, 0.55 if the card is an ace, and 0.80 if the card is the a

1. **State the problem:** We want to find the expected winnings for a ticket buyer in a raffle with two prizes and 11000 tickets sold. 2. **Identify the prizes and probabilities:**

1. **State the problem:** We have a Venn diagram with 100 items total. Circle A has 28 items only, circle B has 48 items only, the intersection A \cap B has 13 items, and outside b

1. **State the problem:** We have three circuits installed in a computer. Each circuit can be defective (D) or good (G). The probability a circuit is defective is 0.12, so the prob

1. The question asks whether "a" represents a probability or an outcome. 2. In probability theory, an "outcome" is a possible result of a random experiment, such as rolling a die o

1. The problem asks to explain what events A and B represent in conditional probability. 2. In probability theory, events A and B are subsets of the sample space representing outco

1. **Problem statement:** Tate has a bag with 7 oatmeal cookies, 5 sugar cookies, and 4 peanut butter cookies, total 16 cookies. He selects one cookie, eats it, then selects anothe

1. **Problem Statement:** We have two events when drawing cards from a standard deck of 52 cards with replacement:

1. **State the problem:** We have a game with three possible winnings: €0, €10, and €12. The angles for the corresponding sectors in the pie chart are 90°, 60°, and an unknown angl

1. **Problem statement:** We have a penalty shoot-out where the probability of scoring a penalty is $0.7$.

1. **Problem statement:** Anna is a successful archer who hits the bullseye (score "10") with a probability of 75% on each shot independently. She will shoot 72 arrows in the first

1. **Problem statement:** Find the value of $x$, the number of students who enjoy none of the activities (running, cycling, swimming) given the Venn diagram data and total students

1. **State the problem:** We are given conditional probability $P(B|A') = \frac{7}{10}$, $P(A') = \frac{3}{8}$, and $P(B) = \frac{2}{5}$. We need to find $P(A \cap B)$. 2. **Recall