Concept explainers
a.
To find: the probability that both numbers are even.
a.
Answer to Problem 49E
Explanation of Solution
Concept Used:
Let A and B be two independent events, then
Let E be the event that both numbers are even.
Total number of even numbers from 1 to 40 = 20
Let A be the event of choosing an even number out of 1 to 40.
Then,
Here, both the numbers are chosen independently. So, the probability that both numbers are even is:
b.
To find: the probability that both one number is even and one number is odd.
b.
Answer to Problem 49E
Explanation of Solution
Concept Used:
Let A and B be two independent events, then
Let E be the event that one number is even and one number is odd.
Total number of even numbers from 1 to 40 = 20
Total number of odd numbers from 1 to 40 = 20
Let A be the event of choosing an even number out of 1 to 40.
Then,
Let B be the event of choosing an odd number out of 1 to 40.
Then,
So, the probability that both one number is even and one number is odd is:
c.
To find: the probability that both numbers are less than 30.
c.
Answer to Problem 49E
Explanation of Solution
Concept Used:
Let A and B be two independent events, then
Let E be the event that both numbers are less than 30.
Total number from1 to 40 which are less than 30 = 29
Let A be the event of choosing a number less than 30 out of 1 to 40.
Then,
Here, both the numbers are chosen independently. So, the probability that both numbers are less than 30 is:
b.
To find: the probability that the same number is selected twice.
b.
Answer to Problem 49E
Explanation of Solution
Concept Used:
Let A and B be two independent events, then
Let E be the event that the same number is selected twice.
Now let 1st number be randomly chosen from 1 to 40. So, there any number out of 40 can be chosen.
So,
Now, 2nd number needs to be same as the first number. So, there is only 1 choice out of 40 choices.
Then,
So, the probability that both numbers are same is:
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
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