A pair of fair dice is rolled. a) Make a list of all possible outcomes to determine the sample space of this experiment. b) What is the probability that the sum of the two dice equals six?
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A pair of fair dice is rolled.
We have given that a pair of fair dice is rolled.
Total number of possible outcomes = 36
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- A partition divides the sample space into mutually exclusive events. True or Falsed) Ana tosses a 50p coin twice. What’s the probability she’ll get two heads?A coin is flipped three times and the result is recorded each time. e. i. What is the sample space? ii. List the element elements in the sample space? Write the outcome for the case where you stop flipping the coin as soon as a head is obtained. iii.
- Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas{9i} is not. If a coin is tossed seven times, how many different outcomes are possible? Place your answer in the blank. Do not use any decimal places or commas.7) Four students will be randomly selected from the six top students in mathematics to represent their school in a regional competition. Angela and Brian are among the six students, and they wish to determine the probability that they will both be chosen. Describe (list) the sample space for determining this probability. What is the probability they will both be chosen?The sales of a coffee shop in a commercial district is very difficult to predict. The total revenue of the shop can be very good one day and bad the other day. The revenue can be classified into three different categories as High, Medium or Low a) Explain how we can see the revenue of the coffee shop as a "Random Experiment" b) Write down the sample space of this random experiment. c) Write down the event that revenue is high or medium using set notation. Write down a new event that is disjoint (mutually excusive) to the previous event. d) What would be the appropriate observation points (epochs) of the revenue? Explain.
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