NOTE: If you cannot obtain the exact values listed in the question when clicking and dragging the diagram, select the next closest value and use approximation to find the correct 1. Click on the "A" in the left (orange) circle and drag until its probability is P(A)=0.164. Click on the "B" in the right (blue) circle and drag until its probability is P(B)=0.07. Make s What is the value of P(AUB)? a. 0.125 b. 0.234 c. 0.095 d. 0.2 -Select- 2. Leaving P(A) = 0.164 and P(B) = 0.07, move B until exactly half of its area intersects with A. Now what is the value of P(AUB)? a. 0.125 b. 0.234 C. 0.095

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 23E
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NOTE: If you cannot obtain the exact values listed in the question when clicking and dragging the diagram, select the next closest value and use approximation to find the correct answer.
1. Click on the "A" in the left (orange) circle and drag until its probability is P(A)=0.164. Click on the "B" in the right (blue) circle and drag until its probability is P(B)=0.07. Make sure the circles do not overlap.
What is the value of P(AUB)?
a. 0.125
b. 0.234
c. 0.095
d. 0.2
-Select-
2. Leaving P(A) = 0.164 and P(B) = 0.07, move B until exactly half of its area intersects with A. Now what is the value of P(AUB)?
a. 0.125
b. 0.234
c. 0.095
d. 0.199
-Select-
Transcribed Image Text:NOTE: If you cannot obtain the exact values listed in the question when clicking and dragging the diagram, select the next closest value and use approximation to find the correct answer. 1. Click on the "A" in the left (orange) circle and drag until its probability is P(A)=0.164. Click on the "B" in the right (blue) circle and drag until its probability is P(B)=0.07. Make sure the circles do not overlap. What is the value of P(AUB)? a. 0.125 b. 0.234 c. 0.095 d. 0.2 -Select- 2. Leaving P(A) = 0.164 and P(B) = 0.07, move B until exactly half of its area intersects with A. Now what is the value of P(AUB)? a. 0.125 b. 0.234 c. 0.095 d. 0.199 -Select-
Probability of the Union of Two Sets
Conceptual Overview: Explore how the probability of the union of two events equals the probability that either event occurs.
The two circles shown below represent two events, A and B. The area of each circle represents the probability of the event. With no overlap you can see that the probability of one or the other of the two events
(the union of A and B) written as P(A U B) is the sum of their probabilities. The union is often described as an "OR" statement. The union is the probability of A occurring OR B occurring OR both A and B occurring
simultaneously (their intersection).
Drag one of the circles so that the circles begin to overlap. You will see that the probability of the union decreases because some probability is included in both sets (their intersection). You can also drag the
letter for each set to change its size and thus its probability.
P(A) = 0.129, P(B) = 0.067, P(A U B) = 0.195
B
Transcribed Image Text:Probability of the Union of Two Sets Conceptual Overview: Explore how the probability of the union of two events equals the probability that either event occurs. The two circles shown below represent two events, A and B. The area of each circle represents the probability of the event. With no overlap you can see that the probability of one or the other of the two events (the union of A and B) written as P(A U B) is the sum of their probabilities. The union is often described as an "OR" statement. The union is the probability of A occurring OR B occurring OR both A and B occurring simultaneously (their intersection). Drag one of the circles so that the circles begin to overlap. You will see that the probability of the union decreases because some probability is included in both sets (their intersection). You can also drag the letter for each set to change its size and thus its probability. P(A) = 0.129, P(B) = 0.067, P(A U B) = 0.195 B
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