Exercise 2: In a bag there are 7 balls numbered: 1, 2, 3, 5, 6, 9, and 12. Part A: In this part the selected is randomly successively two balls from the urn and without replacement in the following manner: • If the first selected balls hold an odd number then we put back in the urn then we select another ball. • Ifthe first selected ball holds an even number then we don't put back in the urn then we select another ball.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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Exercise 2:
In a bag there are 7 balls numbered: 1, 2, 3, 5, 6, 9, and 12.
Part A:
In this part the selected is randomly successively two balls from the urn and without
replacement in the following manner:
• If the first selected balls hold an odd number then we put back in the urn then we
select another ball.
• If the first selected ball holds an even number then we don't put back in the urn
then we select another ball.
Transcribed Image Text:Exercise 2: In a bag there are 7 balls numbered: 1, 2, 3, 5, 6, 9, and 12. Part A: In this part the selected is randomly successively two balls from the urn and without replacement in the following manner: • If the first selected balls hold an odd number then we put back in the urn then we select another ball. • If the first selected ball holds an even number then we don't put back in the urn then we select another ball.
Part B:
In this part the selected is randomly and simultaneously two balls from the urn.
1. Calculate the number of all possible outcomes.
2. Calculate the probability of each of the following event:
a- A:" obtaining two balls hold even numbers"
b- B:" obtaining one ball hold even number and one ball hold an odd number"
c- C:" The sum of the numbers on the two drawn balls is even number"
d- D:" The product of the numbers on the two drawn balls is equal to 6"
Transcribed Image Text:Part B: In this part the selected is randomly and simultaneously two balls from the urn. 1. Calculate the number of all possible outcomes. 2. Calculate the probability of each of the following event: a- A:" obtaining two balls hold even numbers" b- B:" obtaining one ball hold even number and one ball hold an odd number" c- C:" The sum of the numbers on the two drawn balls is even number" d- D:" The product of the numbers on the two drawn balls is equal to 6"
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