Eight balls numbered 1 to 8 are placed in a bag. Some of the balls are grey and some are white. The balls numbered 3, 4, and 6 are grey. The balls numbered 1, 2, 5, 7, and 8 are white. A ball will be selected from the bag at random. The 8 possible outcomes are listed below. Note that each outcome has the same probability. 1 2 3 5 6 7 8 Complete parts (a) through (c). Write the probabilities as fractions. (a) Check the outcomes for each event below. Then, enter the probability of the event.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Eight balls numbered 1 to 8 are placed in a bag.
Some of the balls are grey and some are white.
The balls numbered 3, 4, and 6 are grey. The balls numbered 1, 2, 5, 7, and 8 are white.
A ball will be selected from the bag at random.
The 8 possible outcomes are listed below.
Note that each outcome has the same probability.
1
2
3
4
5
6
7
8
Complete parts (a) through (c). Write the probabilities as fractions.
(a) Check the outcomes for each event below. Then, enter the probability of the event.
Transcribed Image Text:Eight balls numbered 1 to 8 are placed in a bag. Some of the balls are grey and some are white. The balls numbered 3, 4, and 6 are grey. The balls numbered 1, 2, 5, 7, and 8 are white. A ball will be selected from the bag at random. The 8 possible outcomes are listed below. Note that each outcome has the same probability. 1 2 3 4 5 6 7 8 Complete parts (a) through (c). Write the probabilities as fractions. (a) Check the outcomes for each event below. Then, enter the probability of the event.
1 2
Event A: The selected ball has an odd number on it
Event B: The selected ball is grey
Event A or B: The selected ball has an odd number on it or is
grey
✔
Event A and B: The selected ball has an odd number on it and is
grey
□
(b) Compute the following.
P(A) + P (B) − P (A and B) = 0.75
08
(c) Select the answer that makes the equation true.
P(A) + P (B)-P(A and B)= P(A or B) ▼
olo
X
X
3
?
Outcomes
4 5
3
3
0
0
?
0
6
7 8
0
0
0
Probability
+100
4
8
m100
8
6100
8
8
00
Transcribed Image Text:1 2 Event A: The selected ball has an odd number on it Event B: The selected ball is grey Event A or B: The selected ball has an odd number on it or is grey ✔ Event A and B: The selected ball has an odd number on it and is grey □ (b) Compute the following. P(A) + P (B) − P (A and B) = 0.75 08 (c) Select the answer that makes the equation true. P(A) + P (B)-P(A and B)= P(A or B) ▼ olo X X 3 ? Outcomes 4 5 3 3 0 0 ? 0 6 7 8 0 0 0 Probability +100 4 8 m100 8 6100 8 8 00
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