Question

1. Indicate which of the following values ​​can NOT be probabilities.

0, 1, -1, 2, 0.0123, 3/5, 5/3, √2

2. Answer the following questions.

to. Indicate what is the probability that an event will certainly occur.
b. What is the probability of an impossible event?
c. A sample space consists of 10 separate events that have the same possibility of happening. What is the probability of each one?
d. In a multiple-choice test with five possible answers for each question, what is the probability of answering a question correctly?

3. In a company there are 100 employees. He was asked how they were transported to their jobs. The figure below shows the results. If one of the 100 employees is selected at random, determine the likelihood that the person will drive alone or ride a bicycle to work.

 
3 4

1. Public transportation: 17 full-time; 7 part time
2. Bicycle: 5 full time; 4 part time
3. Drive alone: ​​29 full time; 27 part time
4. Carpool: 9 full time; 9 part time

The probability is ___________.

Answer 1

1. Probability values must be in the interval (0,1), inclusive

The following cannot be probabilities: -1, 2, 5/3, $\small \sqrt{2}$

2. P(an event will certainly occur) = 1

P(an impossible event) = 0

P(each event of 10 separate events that have the same possibility of happening) = 1/Number of events

= 1/10

= 0.1

P(answering a question correctly) = 1/Number of possible answers

= 1/5

= 0.2