Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

2. On the Internet, you find an Latin quiz with 10 matching vocabulary questions. Your 3 year old niece randomly matches the
words with the definitions. What is the probability that she makes 100 on the quiz?
Does the order matter? Yes -
This is a permutation
Will all of the words be matched? Yes -
Can we use factorials? Yes -
How many different ways can the answer key be arranged?
P(all correct)
(Enter your answer as a reduced fraction using/ for the fraction bar.)

Sagot :

vipinmurlidhar

Answer:

Assume that there is a Latin quiz with 10 matching vocabulary questions, and your niece try to match them randomly. Then, the probability that she gets the first item right is

1

10

since there is only one correct answer for this item out of 10 options. Now, the probability that she gets the second item right is

1

9

since there is only one correct option and there is only 9 options left to choose from. So, in a similar fashion, the probability that she will get the third item correct is

1

8

, the fourth item correct is

1

7

and so on. Therefore, the probability that she will match them all correctly (getting a 100 on the quiz) is equal to

1

10

⋅

1

9

⋯

1

2

⋅

1

1

=

1

10

!

=

1

3628800

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.