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Algebra 2 Honors
Probability Day 5
Mutually Exclusive and
Independent Events Worksheet
Name________________
Assignment: I5
A single card is drawn from a standard deck of 52 cards. Find the probability of drawing the
indicated card.
1. Not an ace
2. A face card and a 4
3.
A heart or a diamond
4.
A 6 or a 7
5.
An ace or a spade
6.
An ace and a spade
Two six-sided dice are rolled. Find the probability of the given event.
7. The sum is greater than 4
8. The sum is 6 or 11
9.
The sum is neither 5 nor 9
10. The sum is greater than 7 and less than 11
11. The sum is even or odd
12. The sum is 3 or 9
13. The sum is not 8
14. The sum is less than 10 and greater than 5
15. Tennis; You and your best friend are members of a high school tennis team. The coach is
about to pick one player to be the captain of the team. You estimate that there is a 34% chance
you will be picked and a 54% chance that your best friend will be picked. What is the probability
that either you or your best friend will be picked?
16. Meteorology: The probability that it will rain today is 65%, and the probability that it will rain
tomorrow is 25%. The probability that it will rain both days is 35%. What is the probability that it
will rain today or tomorrow?
17. Parakeets: A pet store has 18 light green parakeets (5 females and 13 male) and 25 sky blue
parakeets (15 females and 10 males). You randomly choose one of the parakeets. What is the
probability that it is a male or a sky blue parakeet?
18. Biology: You are performing an experiment to determine how well plants grow under different
light sources. Out of the 30 plants in the experiment, 12 receive visible light, 15 receive
ultraviolet light, and 6 receive both visible and ultraviolet light. What is the probability that a plant
in the experiment receives either visible light or ultraviolet light?
19. Potluck Dinner: The organizer of a potluck dinner sends 3 people a list of 10 different recipes
and asks each person to bring one of the items on the list. If all 3 people randomly choose a
recipe from the list, what is the probability that at least 2 will bring the same thing?
20. Book Collection: You have a book collection that consists of 20 horror novels, 15 romance
novels, and 25 mystery novels. You randomly pick 4 books to read during a long trip. What is
the probability that you pick at least one book of each type?
21. Home Electronics: A development has 5 houses with the same model of garage door opener.
Each opener has 1000 possible transmitter codes. What is the probability that at least 2 of the 5
houses have the same code?
Find the probability of drawing the given cards from a standard deck of 52 cards. First, with
replacement and then without.
22. A club, then a diamond
23. A jack, then a 7
24. A 5, then a face card, then an ace
25. A king, then another king, then a third king
26. An ace, then a face
27. A two, then a joker
Marbles: A jar contains 12 red marbles, 16 blue marbles, and 18 white marbles.
28. Three marbles are chosen without replacement. What is the probability none of them are white?
29. Four marbles are chosen without replacement. What is the probability that they are all white?
30. Three marbles are chosen without replacement. What is the probability that at least one is
white?
File Cabinet: Each drawer in a 5-drawer file cabinet has 50 folders. You are searching for some
information that is in one of the folders, but you do not know which folder has the information.
31. What is the probability that the information is in the first drawer you choose?
32. What is the probability that the information is not in the first folder you choose?
33. What is the probability that the information is not in the first six folders you choose?
Apples: The probability of selecting a rotten apple from a basket is 14%.
34. Find the probability of selecting 3 good apples when selecting 1 apple from each of 3 different
baskets?
Tea: A mixed box of herbal teas has 2 lemon, 3 orange-mango, 3 chamomile, and 1 apricot-ginger.
Kevin chooses two at random.
35. What is the probability that he chose a lemon, then a chamomile?
36. What is the probability that he grabbed 2 orange-mango and a lemon all at once?
Money: Your Spongebob Squarepants ceramic bank has 5 quarters, 2 dimes, and 3 nickels –
because nickels is money, too. Three coins are removed at the same time.
37. What is the probability that you grab 2 nickels and a quarter?
38. What is the probability that you have 40¢ in your hand?
39. What is the probability that you have 60¢ in your hand?
Color Spinner:
40. If you spin the arrow twice, what is the probability that the arrow will
land on a white wedge, then a red?
41. If you spin the arrow three times, what is the probability that the arrow will
land on a red, blue, and then blue wedge again?
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