Republic of the Philippines
Department of Education
National Capital Region
Division of City Schools - Valenzuela
Valenzuela City School of Mathematics and Science
A. PABLO ST., MALINTA, VALENZUELA CITY
WORKSHEET: PROBABILITY
Name: _______________________________ Grade and Section: ___ _____Date: 3/18
/2024
Show your solution completely. Write your answer in designated colored pad paper.
1.
(a) Draw a Venn diagram to represent the data.
(b) Find the probability that a randomly selected person from the survey likes
(i) none of the three juices, (1 pt)
(ii) apple juice but not orange juice. (1 pt)
(iii) mango and orange but not apple juice( 1pt)
(iv) exactly one type of juice(1 pt)
(v) at most 2 types of juice(1 pt)
(c) Given that a person from the survey likes apple juice, find the probability that the
person likes mango juice.( 2 pts)
(d) Given that a person from the survey likes mango juice, find the probability that the
person likes apple juice.( 2 pts)
2.
Given an Urn containing 6 red marbles and 4 blue marbles, I draw a marble at
random from the urn and then, without replacing the first marble, I draw a second
marble from the urn. What is the probability that both marbles are red?
(a) Complete the tree diagram
6/10
4/10
(b) What is the probability that both marbles are red?
(c) What is the probability that the second marble is blue?
3. In a certain library, twenty percent of the fiction books are worn and need
replacement. Ten percent of the non-fiction books are worn and need
replacement. Forty percent of the library’s books are fiction and sixty percent are
non-fiction.
(a) Draw a tree diagram representing the data.
(b) What is the probability that a book chosen at random needs repair?