Assume that there are 7 different issues of sports illustrated magazine, 8 different issues of newsweek, and 4 different issues of time, including the december 1st issue, on a rack. you choose 4 of them at random. (1) what is the probability that exactly 1 is an issue issue of sports illustrated?

The probability is 0.3973

Step-by-step explanation:

We are going to solve this using counting theory.

If A is an event ⇒

If an experiment 1 can takes place in n1 forms, a second experiment 2 can takes place in n2 forms, ..., a experiment-i can takes place in ni forms :

The total forms to take place all the experiments are n1 x n2 x ... x ni

This is call the multiplication principle

Let's define the combinatorial number :

nCr number is the way to choose r objects from a set of n objects

Now let's define the event A : ''1 is an issue of Sports Illustrated when I choose 4 of them at random''

From 7 different issues of Sports Illustrated I choose 1

From the others issues (8+4)  I choose 3

19C4 number is the way to choose 4 issues from a set of 19

The probability exactly that 1 is an issue of Sports Illustrated is

71-100

Step-by-step explanation:

random number ranges within 1 to 100 need to be assigned for each event.

From the table , we can see that

for Lemon cremes cookie group , the probability is 0.30

That is 0.30 * 100 = 30 %

30% is 30 out of 100 cookies are Lemon cremes

Now we check the numbers that has 30 cookies in difference

71 - 100  is 30

so 71 to 100 will be assigned to the Lemon Cremes group