ACTIVITY 5:
Solve the following problems. Show your solutions below each problem.


1) The probabilities of three students, Rey, Oliver and Gemma, to be elected as SSG president are 2/9, 1/6, and 1/12 respectively. Find the probability that

a. either Oliver or Gemma will be elected.
b. either Rey or Oliver will be elected.
c. neither Rey nor Gemma will be elected.

2) Mrs. Cruz has 55 students, 30 males and 25 females. One-third of the males and 60% of the females have internet connection. What is the probability that a student chosen is

a. a female or has no internet connection?
b. a male or has no internet connection?


ACTIVITY 6:
A. Categorize each statement below into mutually and not mutually exclusive events. Write your answer in the table.

Mutually Exclusive Events:



Not Mutually Exclusive Events:



/ Inclusive events
/ Events that occur at the same time
/ P (A U B) = P(A) + P(B)
/ Disjoint sets
/ Events that cannot happen at the same time
/ P(A U B) = P(A) + P(B) - P(A n B)

B. Illustrate mutually exclusive and not mutually exclusive events using the Venn diagram.


ACTIVITY 7:
Solve the following problems.

1) A committee of three is to be chosen at random from a group of 7 employees consisting of 4 females and 3 males. What is the probability that committee will have at least one female?

2) A school has 12 good runners of which 5 are girls. If four are chosen at random to represent the school in the district meet, what is the probability that the group will have at most three boys?


ACTIVITY 8:
Answer the following problems.

1) A basket contains red, blue and green balls. One ball is to be chosen at random. The probability that the selected ball is blue is equal to five times the probability that the selected ball is green. If the probability that the chosen ball is green is the same as the probability that the chosen ball is red, find the probability that the chosen ball is blue or red.

2) At a particular Junior High School, the number of students in the four grade levels are broken down by percent, as shown in the table:
Class:
Grade 7
Grade 8
Grade 9
Grade 10
Percent:
31
26
25
18

A single student is picked randomly by lottery for a cash assistance to be given due to COVID-19.

a. What is the probability that the student selected for the cash assistance is a grade 7, a grade 8 or a grade 9?

b. Is the process of selecting a recipient for the cash assistance fair? Why or why not?

c. Can you suggest another way of selecting the recipient for the cash assistance?

pasagot po pls.​