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(Mathematics 8)
JOEY F. VALDRIZ
Directions:
Answer the following
problems involving
probabilities of events.
1. Earl is asked to choose a
day from a week. What is
the probability of choosing
a day which starts with S?
2. Choosing a month from a
year, what is the
probability of selecting a
month with 30 days?
3. If a letter is chosen at random
from the word
PERSEVERANCE, what is
the probability that the letter
chosen is E?
4. If one letter is chosen from the
word TRUSTWORTHY, what
is the probability that the
letter chosen is a consonant?
5. There are six balls in a jar.
They are numbered from
11 to 16. If a ball is drawn,
what is the probability that
it shows a composite
number?
6. A box contains 7 red
marbles, 5 orange
marbles, 4 yellow marbles,
6 green marbles, and 3
blue marbles. What is the
probability of drawing an
orange marble?
7. There are 45 students in a
class. 25 of them are
boys. If a student is
selected at random for a
field trip, what is the
probability of selecting a
girl?
8. There are 51 students in a
class. 24 of them are
boys. If a student is
selected at random for a
field trip, what is the
probability of selecting a
boy?
9. What is the probability of
getting an 8 from a deck of
cards?
10. A spinner is divided
equally and numbered as
follows: 1, 2, 2, 3, 3, 4, 1,
1, 2, 4, 1, 2, 3, 4, 1, 2.
What is the probability that
the pointer will stop at a
number which is both
prime and odd?
11. In a deck of cards, what is
the probability of drawing
a red king?
12. In rolling a die, what is the
probability of getting a
number greater than 4?
13. A letter is to be selected
from the name of your
section. What is the
probability that it is a
consonant letter?
14. There 25 boys and 22
girls in a class. A student
is to be selected. What is
the probability that it is a
girl?
15. There are 4 green chips, 6
orange chips, 2 red chips,
5 yellow chips, and 3 blue
chips in a jar. A chip is to
be drawn from the jar.
What is the probability that
it is a color that is not
green?
16. A color is to be selected
from the colors of the
rainbow. What is the
probability of selecting a
primary color?
17. In a deck of cards, what is
the probability of getting a
card that is not a face
card?
18. A container has balls
numbered from 1 through
30. What is the probability
of drawing a ball that
shows a number divisible
by 4?
19. There are 2 white buttons,
6 black buttons, 3 pink
buttons, 4 purple buttons,
and 5 gray buttons in a kit.
What is the probability of
drawing a button that is
black or white?
20. On a six-sided die, each
side has a number from 1
to 6. What is the
probability of throwing a 3
or a 4?
21. In drawing a card from a
pack of cards, what is the
probability of getting a 3 or
4?
22. There are 4 triangles, 2
quadrilaterals, 5
pentagons, 7 hexagons
and 3 octagons. What is
the probability of selecting
a polygon with a number
of sides that is an even
number?
23. In all two-digit numbers,
what is the probability of
selecting a number
divisible by 5?
24. Two coins are tossed.
What is the probability of
getting one head and one
tail?
25. Two dice are rolled. What
is the probability that the
dice show numbers which
have a sum of 7?
26. Two dice are rolled. What
is the probability that both
dice show even number?
27. Three coins are tossed.
What is the probability of
getting one head and two
tails?
28. A family has 3 children.
What is the probability of
having both the eldest and
the middle child boys?
29. A coin is tossed and a die
is rolled at the same time.
What is the probability that
a head and an even
number will be shown?
30. Two letters will be chosen
from the words KOBE and
BRYANT. The first letter
will come from KOBE and
the second letter will come
from BRYANT. What is the
probability that the first and
second letters are both
vowel?

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Problems Involving Probabilities of Events (Math 8)

  • 2. Directions: Answer the following problems involving probabilities of events.
  • 3. 1. Earl is asked to choose a day from a week. What is the probability of choosing a day which starts with S?
  • 4. 2. Choosing a month from a year, what is the probability of selecting a month with 30 days?
  • 5. 3. If a letter is chosen at random from the word PERSEVERANCE, what is the probability that the letter chosen is E?
  • 6. 4. If one letter is chosen from the word TRUSTWORTHY, what is the probability that the letter chosen is a consonant?
  • 7. 5. There are six balls in a jar. They are numbered from 11 to 16. If a ball is drawn, what is the probability that it shows a composite number?
  • 8. 6. A box contains 7 red marbles, 5 orange marbles, 4 yellow marbles, 6 green marbles, and 3 blue marbles. What is the probability of drawing an orange marble?
  • 9. 7. There are 45 students in a class. 25 of them are boys. If a student is selected at random for a field trip, what is the probability of selecting a girl?
  • 10. 8. There are 51 students in a class. 24 of them are boys. If a student is selected at random for a field trip, what is the probability of selecting a boy?
  • 11. 9. What is the probability of getting an 8 from a deck of cards?
  • 12. 10. A spinner is divided equally and numbered as follows: 1, 2, 2, 3, 3, 4, 1, 1, 2, 4, 1, 2, 3, 4, 1, 2. What is the probability that the pointer will stop at a number which is both prime and odd?
  • 13. 11. In a deck of cards, what is the probability of drawing a red king?
  • 14. 12. In rolling a die, what is the probability of getting a number greater than 4?
  • 15. 13. A letter is to be selected from the name of your section. What is the probability that it is a consonant letter?
  • 16. 14. There 25 boys and 22 girls in a class. A student is to be selected. What is the probability that it is a girl?
  • 17. 15. There are 4 green chips, 6 orange chips, 2 red chips, 5 yellow chips, and 3 blue chips in a jar. A chip is to be drawn from the jar. What is the probability that it is a color that is not green?
  • 18. 16. A color is to be selected from the colors of the rainbow. What is the probability of selecting a primary color?
  • 19. 17. In a deck of cards, what is the probability of getting a card that is not a face card?
  • 20. 18. A container has balls numbered from 1 through 30. What is the probability of drawing a ball that shows a number divisible by 4?
  • 21. 19. There are 2 white buttons, 6 black buttons, 3 pink buttons, 4 purple buttons, and 5 gray buttons in a kit. What is the probability of drawing a button that is black or white?
  • 22. 20. On a six-sided die, each side has a number from 1 to 6. What is the probability of throwing a 3 or a 4?
  • 23. 21. In drawing a card from a pack of cards, what is the probability of getting a 3 or 4?
  • 24. 22. There are 4 triangles, 2 quadrilaterals, 5 pentagons, 7 hexagons and 3 octagons. What is the probability of selecting a polygon with a number of sides that is an even number?
  • 25. 23. In all two-digit numbers, what is the probability of selecting a number divisible by 5?
  • 26. 24. Two coins are tossed. What is the probability of getting one head and one tail?
  • 27. 25. Two dice are rolled. What is the probability that the dice show numbers which have a sum of 7?
  • 28. 26. Two dice are rolled. What is the probability that both dice show even number?
  • 29. 27. Three coins are tossed. What is the probability of getting one head and two tails?
  • 30. 28. A family has 3 children. What is the probability of having both the eldest and the middle child boys?
  • 31. 29. A coin is tossed and a die is rolled at the same time. What is the probability that a head and an even number will be shown?
  • 32. 30. Two letters will be chosen from the words KOBE and BRYANT. The first letter will come from KOBE and the second letter will come from BRYANT. What is the probability that the first and second letters are both vowel?