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WorksheetsMutually Exclusive and Inclusive Events
Total questions: 20
Worksheet time: 20mins
Sarah has 15 red chips, 12 blue chips, and 13 white chips. What is the probability that Sarah randomly selects a red or a white chip is an example of mutually ________ event.
Exclusive
Inclusive
Which formula do you use when two events are mutually exclusive?
P(A or B) = P(A) + P(B)
P(A or B) = P(A) + P(B) - P(A∩ B)
P(A and B) = P(A) * P(B)
P(A and B) = P(A) - P(B)
Is the situation a mutually exclusive event or non-exclusive (inclusive)
A die is rolled. What is the probability of rolling a 5 or a number greater than 3?
Exclusive
Non-Exclusive (Inclusive)
Two events are mutually exclusive if they have (a) outcome(s) in common. This means that 𝑃(𝐴 ∩ 𝐵) =
(b) .
No
0
One
Many
1
Between 0 & 1
Which formula do you use when two events are NOT mutually exclusive?
P(A or B) = P(A) + P(B)
P(A or B) = P(A) + P(B) - P(A and B)
P(A and B) = P(A) * P(B)
P (A and B) = P(A) * P(B|A)
Which of the following shows how to determine P(packers or male)?
75/150 + 90/150 - 50/150
75/150 + 35/150 - 25/150
50/150 + 40/150 + 25/150
90/150 + 50/150 - 75/150
The enrollment at Southburg High School is 1400. Suppose 550 students take French, 700 take algebra, and 400 take both French and algebra. What is the probability that a student selected randomly takes French or algebra?
1250/1400
700/1400
550/1400
17/28
Which of the following shows how to determine P(diamond or face card)?
13/52 + 12/52 - 3/52
3/52 + 13/52 -12/52
3/52 + 12/52 - 13/52
1/13 + 3/52 - 1/4
Which of the following shows how to determine P(odd number or shaded number)?
4/8 + 3/8 - 1/8
3/8 + 6/8 - 4/8
4/8 - 5/8 + 3/8
4/8 + 4/8 - 4/8
Identify the shaded area...
A∩B
A∪B
A'∩B'
A'∪B'
Is the following mutually exclusive or inclusive?
Probability of drawing a queen or a diamond from a standard deck of cards.
mutually exclusive
inclusive
What is the probability that a student is a female or left-handed?
53/121
58/121
7/53
12/121
Find the probability of choosing a student at random that plays an instrument OR a sport.
1/2
13/20
21/20
4/5
Identify the shaded area...
A
B
A'
B'
A jar contains 9 balls, numbered from one to nine. You randomly pick a ball. What is the probability that you select a one or a six?
inclusive
mutually exclusive
If you roll one die, what is the probability of getting an odd number or a 4? Are the events inclusive or mutually exclusive?
Not Mutually Exclusive
Mutually exclusive
Two events are mutually exclusive if:
they cannot happen at the same time
they can happen at the same time
they always happen
they never happen
Identify if the events are mutually exclusive or not mutually exclusive, then calculate the probability. Leave as a fraction.
125
121
12112
127
Identify if the events are mutually exclusive or not mutually exclusive, then calculate the probability. Leave as a percentage.
109
107
92
21
Which of the following pairs of events is mutually exclusive?
Cards: Aces and Spades
Two dice: Odd and even
Sit down and stand up
Sit down and scratch your nose
