Assignment:
Q1. Match each of these terms with one of the phrases below.
Terms:
a. sample space
b. events
c. complement
d. subjective probability
e. outcomes
f. theoretical probability
g. trials
Phrases:
1. deduced from analysis of all possible outcomes
2. the set of all possible outcomes
3. repetitions of a probability experiment
4. the outcomes not included in a particular event
5. based upon intuition and previous experience
6. a specific group of outcomes that is being investigated
Q2. A coin is tossed three times. What is the probability of tossing at least one head?
Q3. A standard die is rolled. What is the probability of rolling a prime number?
Q4. Use a tree diagram to explain why the probability that a family with four children has either all girls or all boys is 1/8 assuming that the probability of having a boy equals the probability of having a girl.
Q5. If you were to toss four coins what are the odds in favour of 2 heads showing up.
Q6. Explain why odds of 4 to 5 in favour of an event occurring have a different meaning than the same event having a probability of 4/5.
Provide complete and step by step solution for the question and show calculations and use formulas.