Calculating the Probability of Non-Disjoint Events: Addition Rule

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Mathematics
•
1st - 6th Grade
•
Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the key characteristic of disjoint events?
They can occur at the same time.
They cannot occur at the same time.
They are always mutually inclusive.
They always have the same probability.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a common mistake when calculating probabilities for non-disjoint events?
Ignoring the probability of the intersection.
Adding the probabilities without considering intersections.
Multiplying the probabilities of the events.
Subtracting the probabilities of the events.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What symbol is used to represent the intersection of two events in probability?
An upside-down U (∩)
A division sign (÷)
A minus sign (-)
A plus sign (+)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the probability of non-disjoint events A or B?
Add the probabilities of A and B.
Multiply the probabilities of A and B.
Add the probabilities of A and B, then subtract the probability of their intersection.
Subtract the probabilities of A and B.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to subtract the intersection probability when using the addition rule for non-disjoint events?
To simplify the calculation.
To ensure the total probability does not exceed 1.
To avoid double-counting the intersection.
To increase the total probability.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example of calculating the probability of being blonde or female, what is the probability of being both?
5/10
3/10
7/10
1/10
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the probability of owning a dog or a cat, given the probabilities of owning a dog, a cat, and both?
0.28
0.57
0.39
0.46
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