SOLUTION: Four people are selected at random. What is the probability that none of the people in this group were born on the same day of the week? (Round your answer to three decimal places.

Question 1118593: Four people are selected at random. What is the probability that none of the people in this group were born on the same day of the week? (Round your answer to three decimal places.)

Answer by ikleyn(52806) (Show Source): You can put this solution on YOUR website!
.

Answer.  P = .

Solution

For each of the 4 people, write in a row his day of birth as the day of the week.


You will get the row of 4 integer numbers from 1 to 7 inclusively in each position.


The number of such different rows is  .    <<<---=== It models the whole space of events.


The number of the rows with non-repeating numbers is  7*6*5*4.


The ratio is the probability under the question.

RELATED QUESTIONS
Six people are selected at random. What is the probability that none of the people in... (answered by Edwin McCravy)

What is probability that of three people selected at random at least two were born on the (answered by Edwin McCravy)

What is the probability that two people selected at random were born on the same day of... (answered by stanbon)

A group of five people are selected at random. What is the probability that at least two... (answered by ikleyn,greenestamps)

If two people are selected at random, what is the probability that they were both born in (answered by htmentor)

Data shows that 90% of the people in a certain population are right-handed. A group of 8... (answered by Fombitz)

in a group of 21 people, seven own an ITouch phone. If 9 people are selected at random... (answered by stanbon)

kindly help me answer this, if two people are selected at random, find the probability... (answered by stanbon)

Suppose 25 people are arranged in a circle. Three of them are selected at a random. what... (answered by venugopalramana)