Question

# Eight balls numbered 1 to 8 are placed in a bag. Some of the balls are...

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.

 Outcomes Probability 1 2 3 4 5 6 7 8 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)=

(c) Select the answer that makes the equation true.

 P(A)+P(B)-P(A and B)=

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