UNIT 6 - Probability

Master probability! Solve math problems on independent events, sample space, and more.

Match the definition to the correct term. If the outcome of one event does not affect the other event, the events are _. Independent Events The _ of rolling a 3 on a number cube is 1 Probability The set of all possible outcomes in a probability experiment is the _ Sample Space _, or relative frequency, is based on what actually occurs during an experiment. Experimental Probability Organized lists, tables, and _ can be used to represent sample space. Tree Diagrams The possible result of an experiment is a(n) _. Outcome The likelihood that an event should happen in ideal circumstances is called the _. Theoretical Probability There are 10 game pieces in a bag: 5 yellow, 2 red, and 3 green.You randomly select a game piece from above. What is the probability you choose yellow or red? 7 1 3 3 There are 10 game pieces in a bag: 5 yellow, 2 red, and 3 green.You randomly select a game piece from above, replace it, and draw another. What is the probability you select green both times? 3 9 6 Sunscreen comes in three forms: Spray, Cream, or Gel. It comes in 4 different SPF's: 25, 30, 45 and 50 and 3 different size bottles, 6 oz., 12 oz, and 18 oz.How many different combinations or forms and SPF are there? 7 3 12 36 Sort each probability into independent or dependent. Independent Event Spinning a spinner Flipping a coin Drawing a card and replacing it Dependent Event Drawing a red marble and then a green marble without replacement Choosing two different students from the class Drawing a king and then a queen without replacement Two socks are drawn from a drawer which contains one red sock, three blue socks, two black socks, and two green socks. Once a sock is selected, it is not replaced. Determine each probability. P(a black sock and then a green sock) 2 out of 8 1 out of 16 1 out of 14 4 out of 8 P(two blue socks) 3 out of 8 3 out of 28 9 out of 64 6 out of 8 There are three quarters, five dimes, and twelve pennies in a bag. Once a coin is drawn from the bag, it is not replaced. If two coins are drawn at random, determine each probability. P(a quarter and then a penny) 9 out of 95 9 out of 100 15 out of 20 P(two pennies) 23 out of 380 9 out of 25 33 out of 95 Read the following definitions and answer the questions below. Qualitative Predictive Statement - a broad subjective description (ex: the probability of an event occurring is certain, more likely, not likely, equally likely, or impossible.)Quantitative Predictive Statement - a narrowed objective description associated with a quantity (ex: the probability of selecting a consonant from the word EXPERIMENT is 1.5 times as likely as selecting a vowel from the same word, etc.) Match the correct examples to the appropriate category. Qualitative It is more likely that a right-handed person would be picked than a left-handed person. It is equally as likely to roll an even number as it is to roll an odd number on a regular die. A person is more likely to pick a comedy movie than they are a horror movie. Quantitative It is three times as likely that a right-handed person would be picked than a left-handed person. It is 4 times as likely to roll a number greater than 2 than it is to roll a one . There is a 12% chance that a person will choose a horror movie over a comedy movie. Leticia has two bouquets of flowers. Each bouquet contains 13 daisies. Bouquet S contains 30 flowers. Bouquet T contains 13 flowers.Is the following statement TRUE or FALSE? Explain your reasoning in complete sentences."The probability of selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T." Determine if the statement is True or False and explain your thinking in complete sentences. A store manager receives a delivery of 2 boxes of lightbulbs. Each box contains 25 lightbulbs. The store manager tests all the bulbs and finds that 2 of them are defective. Based on these results, what can the store manager predict about the next delivery of lightbulbs. The delivery of 3 boxes will contain 3 more defective lightbulbs than a delivery of 2 boxes. A delivery of 4 boxes will contain 2 more defective lightbulbs than a delivery of 2 boxes. A delivery of 5 boxes will contain 10 more defective lightbulbs than a delivery of 2 boxes. A delivery of 6 boxes will contain 3 more defective lightbulbs than a delivery of 2 boxes. A B C D F G H J