Graph a discrete probability distribution

Learning Objectives Identify the probability of a simple event as a fraction. Find a common denominator for two fractions with unlike denominators. Add two fractions with unlike denominators to find the probability of combined events. Subtract two fractions with unlike denominators to compare probabilities. Create a bar graph to represent a discrete probability distribution with fractional values. Interpret a discrete probability distribution graph to answer questions about likelihood. If you have a spinner for a game, how can you use fractions to figure out your chances of winning? 🎲 Let's find out! Today, we will learn how to show the 'chances' of something happening using fractions and a special picture called a probability graph. We will use our fraction...

TermDefinitionExample ProbabilityThe chance of something happening. We write it as a fraction: (number of ways it can happen) / (total number of outcomes).In a bag with 3 red marbles and 2 blue marbles (5 total), the probability of picking a red marble is 3/5. OutcomeOne possible result of an experiment or activity.When you spin a spinner with colors Red, Blue, and Green, one possible outcome is 'landing on Blue'. Discrete Probability DistributionA list or graph that shows all possible outcomes and their exact probabilities (chances). We will use a bar graph for this.A bar graph showing the probability of rolling a 1 is 1/6, a 2 is 1/6, a 3 is 1/6, and so on, for a standard die. Unlike DenominatorsWhen the bottom numbers of two or more fractions are different.The fractions 1/3 a...

Finding a Common Denominator To find a common denominator for \( \frac{a}{b} \) and \( \frac{c}{d} \), find the least common multiple (LCM) of b and d. Before you can add or subtract fractions with unlike denominators, you must change them into equivalent fractions that have the same bottom number. A simple way is to multiply the two denominators together (b × d). Adding Fractions with Unlike Denominators \( \frac{a}{b} + \frac{c}{d} = \frac{ad}{bd} + \frac{cb}{bd} = \frac{ad+cb}{bd} \) First, find a common denominator. Then, convert each fraction into an equivalent fraction with that new denominator. Finally, add the numerators (top numbers) and keep the denominator the same. Subtracting Fractions with Unlike Denominators \( \frac{a}{b} - \frac{c}{d} = \frac{ad}{bd} -...