# subjective probability

1. 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

2. A coin is tossed three times. What is the probability of tossing at least one head?

3. A standard die is rolled. What is the probability of rolling a prime number?

4. 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.

5. If you were to toss four coins what are the odds in favour of 2 heads showing up.

6. 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

https://brainmass.com/math/probability/subjective-probability-346024

#### Solution Preview

1. 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

It's just the definition:

"a" is 2. This is how it's defined.

"b" is 6.

"c" is 4. Complement to an event is the set of outcomes not in this event.

"d" is 5. Probability based on personal previous experience and intuition

"e" are the results of a probability experiment, like tossing a coin several times. I don't see a corrsponding description in the second set.

"f" is 1.

"g" is 3.

2. A coin is tossed three times. What is the probability of tossing at least one head?

Let's make a tree diagram.

First ...

#### Solution Summary

Types of probability are clarified.