Probability Topics Quiz

PDF page 233: mutually exclusive two events are mutually exclusive if the probability that they both happen at the same time is zero; if events A and B are mutually exclusive, then P(A AND B) = 0 outcome a particular result of an experiment probability a number between zero and one, inclusive, that gives the likelihood that a specific event will occur; the foundation of statistics is given by the following three axioms (by A.N. Kolmogorov, 1930s): Let S denote the sample space and A and B are two events in S; then

PDF page 234: If A and B are mutually exclusive, P(A OR B) = P(A) + P(B) and P(A AND B) = 0.

PDF page 233: mutually exclusive two events are mutually exclusive if the probability that they both happen at the same time is zero; if events A and B are mutually exclusive, then P(A AND B) = 0 outcome a particular result of an experiment probability a number between zero and one, inclusive, that gives the likelihood that a specific event will occur; the foundation of statistics is given by the following three axioms (by A.N. Kolmogorov, 1930s): Let S denote the sample space and A and B are two events in S; then

PDF page 233: mutually exclusive two events are mutually exclusive if the probability that they both happen at the same time is zero; if events A and B are mutually exclusive, then P(A AND B) = 0 outcome a particular result of an experiment probability a number between zero and one, inclusive, that gives the likelihood that a specific event will occur; the foundation of statistics is given by the following three axioms (by A.N. Kolmogorov, 1930s): Let S denote the sample space and A and B are two events in S; then

PDF page 233: sample space the set of all possible outcomes of an experiment sampling with replacement if each member of a population is replaced after it is picked, then that member has the possibility of being chosen more than once

PDF page 234: In sampling with replacement, each member of a population is replaced after it is picked, so that member has the possibility of being chosen more than once, and the events are considered to be independent. In sampling without replacement, each member of a population may be chosen only once, and the events are considered not to be independent. When events do not

PDF page 233: sampling without replacement when sampling is done without replacement, each member of a population may be chosen only once the AND event an outcome is in the event A AND B if the outcome is in both A AND B at the same time the complement event the complement of event A consists of all outcomes that are NOT in A the conditional probability of one event GIVEN another event P(A|B) is the probability that event A will occur given that the event B has already occurred

PDF page 233: the OR event an outcome is in the event A OR B if the outcome is in A or is in B or is in both A and B the OR of two events an outcome is in the event A OR B if the outcome is in A, is in B, or is in both A and B tree diagram the useful visual representation of a sample space and events in the form of a tree with branches marked by possible outcomes together with associated probabilities (frequencies, relative frequencies)

PDF page 233: the OR event an outcome is in the event A OR B if the outcome is in A or is in B or is in both A and B the OR of two events an outcome is in the event A OR B if the outcome is in A, is in B, or is in both A and B tree diagram the useful visual representation of a sample space and events in the form of a tree with branches marked by possible outcomes together with associated probabilities (frequencies, relative frequencies)

PDF page 234: If A and B are independent, P(A AND B) = P(A)P(B),

PDF page 233: 3. P(A AND B) = P(A)P(B)

PDF page 230: second one. Then, pick the second one. Record the results in the Without Replacement column section of Table 3.15. After you record the pick, put both candies back. Do this a total of 24 times, also. Use the data from Table 3.15 to calculate the empirical probability questions. Leave your answers in unreduced fractional form. Do not multiply out any fractions.

PDF page 230: Count out 40 mixed-color candies, which is approximately one small bag’s worth. Record the number of each color in Table 3.12. Use the information from this table to complete Table 3.13. Next, put the candies in a cup. The experiment is to pick two candies, one at a time. Do not look into the cup as you pick them. The first time through, replace the first candy before picking the second one. Record the results in the With Replacement column of Table

PDF page 231: doubles = both picks are the same color.