Question

question 3 (2 points)
matching
use the following image from the notes to match the following

column a

1. it is impossible for event a to occur.
2. it is certain that event a will occur.
3. it is likely that an event will occur.
4. it is unlikely for an event to occur.

column b
a. $p(a)=\frac{1}{6}$
b. $p(a)=0$
c. $p(a)=1$
d. $p(a)=\frac{4}{5}$

Explanation:

Step1: Analyze the probability of an impossible event

The probability of an impossible event is \(0\). So, when it is impossible for Event \(A\) to occur, \(P(A) = 0\) (matches with option b).

Step2: Analyze the probability of a certain event

The probability of a certain event is \(1\). So, when it is certain that Event \(A\) will occur, \(P(A)=1\) (matches with option c).

Step3: Analyze the probability of a likely event

A likely event has a probability close to \(1\). Given \(P(A)=\frac{4}{5} = 0.8\) which is close to \(1\). So, when it is likely that an event will occur, \(P(A)=\frac{4}{5}\) (matches with option d).

Step4: Analyze the probability of an unlikely event

An unlikely event has a probability close to \(0\). Given \(P(A)=\frac{1}{6}\approx0.17\) which is close to \(0\). So, when it is unlikely for an event to occur, \(P(A)=\frac{1}{6}\) (matches with option a).

Answer:

1. b
2. c
3. d
4. a