Respuesta :
Answer:
Required Probability=[tex]\frac{^{6670}C_{20}}{^{40000}C_{20}}[/tex]
Step-by-step explanation:
We have been given the total 40,000 words
And the words that started with letter T is 6,670
We need to find the probability of the words beginning with T
Words beginning with T will be [tex]^{6670}C_{20}[/tex]
Total words after choosing 20 unique words would be: [tex]^{40000C_{20}[/tex]
[tex]Probability=\frac{\text{words beginning with T}}{\text{total words}}[/tex]
[tex]Probability=\frac{^{6670}C_{20}}{^{40000}C_{20}}[/tex]
Hence,
Required Probability=[tex]\frac{^{6670}C_{20}}{^{40000}C_{20}}[/tex]
Answer:
[tex]\frac{^{6670}C_{20}}{^{40000}C_{20}}[/tex]
Step-by-step explanation:
Given : A study conducted on 40,000 words in the English language found that about 6,670 words started with the letter T, which is the most common letter to start a word.
To Find: If we randomly pick 20 unique words, which of these lists of words will come closest to the theoretical probability of getting a word beginning with T?
Solution:
There are 6670 words starting from T
They randomly select 20 words
So, the possible outcomes starting from T : [tex]^{6670}C_{20}[/tex]
Since 20 words are selected from the total of 40000: [tex]^{40000}C_{20}[/tex]
So, probability of getting a word beginning with T : [tex]\frac{^{6670}C_{20}}{^{40000}C_{20}}[/tex]
