
Concept explainers
a.
Probability of randomly selecting the given marbles for the given event.
a.

Answer to Problem 3CR
Probability of randomly selecting the marbles for replacing the first marble before drawing the second is 0.15625 .
Explanation of Solution
Given information:
Event: Replacing the first marble before drawing the second. (first marble is red)
Calculation:
It is given that; there are 5 red, 8 green, 3 blue marbles.
Event A is first marble is red and event B is second marble is green.
As one replace the first marble before selecting the second, the events are independent.
The required probability is,
P(A and B)=P(A).P(B)P(A and B)=516.816P(A and B)=0.15625
Hence, Probability of randomly selecting the marbles is 0.15625 .
b.
Probability of randomly selecting the given marbles for the given event.
b.

Answer to Problem 3CR
Probability of randomly selecting the marbles for do not replace the first marble is 0.1667 .
Explanation of Solution
Given information:
Event: Do not replace the first marble. (Second marble is green)
Calculation:
It is given that; there are 5 red, 8 green, 3 blue marbles.
Because one do not replace the first marble before drawing the second one, the events are dependent.
The required probability is,
P(A and B)=P(A).P(B)P(A and B)=516.815P(A and B)=0.1667
Hence, Probability of randomly selecting the marbles is 0.1667 .
Chapter 10 Solutions
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
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