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Probability of Multiple Events A standard die is tossed. Find each probability. P(5 or 6) A standard die is tossed. Find each probability. P(an even number or a number greater than 4) A standard number cube is tossed and a card is chosen from a standard 52-card deck. Find each probability. P(rolling an even number and selecting an ace from the deck) 4. The color of a car is selected at random; the type of transmission is selected at random 13. About 30% of the U.S. population is under 20 years old. About 17% of the population is over 60. What is the probability that a person chosen at random is under 20 or over 60? Suppose a number from 1 to 100 is selected at random. What is the probability that a multiple of 4 or 5 is chosen? A: 1/20 B: 0.36 C: 2/5 D: 45% Mutually exclusive? P(mult. of 4 or mult. of 5) = P(mult. of 4) + P(mult. of 5) – P(mult. of 4 and 5) P(A or B) = P(A or B) = 100 40 100 + = 100 2 5 − 100 Probability Distributions Definition 1: A frequency table is a list of the outcomes in a sample space and the number of times each outcome occurs. In the game Rock-Paper-Scissors, the scissors cut the paper, the rock dulls the scissors, and the paper covers the rock. Use the results below to make a frequency table for the winning players: Player 1, Player 2, or tie. Definition 2: Probability over a continuous range of events is cumulative probability. Social Science Use the frequency table. Find the probability that an elderly person living alone will have contact with his or her children more than once a week. Find P(more than once a week) Find P(once a week or more) Definition 3: A probability distribution is a function that gives the probability of each event in a sample space. Use a table and a graph to show the probability distribution for the spinner {red, green, blue, yellow}. Genetics Use the information in the chart of inherited gene pairs. Graph the probability distribution for each sample space. a. Genotype Distribution b. Plant Color Distribution c. Which probability distribution would be more useful to a farmer who wants to avoid raising white corn plants? Explain. d. Make a probability distribution table for each sample space. Name Take a survey of your classmates’ eye colors and make a frequency table with the data. Isaiah Ferg Kaila Jazmine Antiyana Isaac Xavier Jordan Jeremy Justice Katie R Tiana Juliano Katie S. Eye Color Market Research At a certain store, the number of customers c who arrive at the checkout counter each minute varies according to the distribution below. Simulate the number of customers over a ten-minute period. Step 1: Define how the simulation will be done. Use random numbers. Assign numbers from 1 to 100 to the events, based on the probability of each event. Use cumulative probabilities to help you assign the numbers. Event Probability 0 0.15 1 0.24 2 0.28 3 0.17 4 0.09 5 0.05 6 0.02 Cumulative Probability Assigned Numbers Step 2: Conduct the simulation. Model a ten-minute period by generating ten random numbers from 1 – 100. Step 3: Interpret the simulation. o Based on this simulation, a total of ___ customers would arrive at checkout counters over a ten-minute period. Use the frequency table. Find the probability that a student is involved in at least one extra-curricular activity. (write as fraction, decimal, and percent AND in context in a sentence)