
Concept explainers
a.
To find: the probability of ball landing in the number 00 pocket.
a.

Answer to Problem 61E
Explanation of Solution
Let E be the event of ball landing in the number 00 pocket.
Since there is only one 00 pocket, so
There are in total 38 pockets, so
So, the probability of ball landing in the number 00 pocket is:
b.
To find: the probability of ball landing in a red pocket.
b.

Answer to Problem 61E
Explanation of Solution
Let E be the event of ball landing in a red pocket.
Since there are 18 red pockets, so
There are in total 38 pockets, so
So, the probability of ball landing in a red pocket is:
c.
To find: the probability of ball landing in a green pocket or a black pocket.
c.

Answer to Problem 61E
Explanation of Solution
Let E be the event of ball landing in a green pocket or a black pocket.
Since there are 18 black pockets and 2 green pockets, so
There are in total 38 pockets, so
So, the probability of ball landing in a green pocket or a black pocket is:
d.
To find: the probability of ball landing in the number 14 pocket on two consecutive spins.
d.

Answer to Problem 61E
Explanation of Solution
Concept Used:
Let A and B be two independent events, then
Let E be the event of ball landing in the number 14 pocket on two consecutive spins.
Let A be even of ball landing in number 14 pocket.
Since there is only 1 number 14 pocket, so
There are in total 38 pockets, so
So, the probability of ball landing in number 14 pocket is,
Now, the events of ball landing in any pocket are independent events.
So, the probability of ball landing in the number 14 pocket on two consecutive spins is:
e.
To find: the probability of ball landing in a red pocket on three consecutive spins.
e.

Answer to Problem 61E
Explanation of Solution
Concept Used:
Let A and B be two independent events, then
Let E be the event of ball landing in a red pocket on three consecutive spins.
Let A be even of ball landing in red pocket.
From part (b), the probability of ball landing in a red pocket is:
Now, the events of ball landing in any pocket are independent events.
So, the probability of ball landing in a red pocket on three consecutive spins is:
Chapter 9 Solutions
Precalculus with Limits
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