SOLUTION: Five numbers are to be selected at random (without replacement) from the 10 digits in the numerical system. Determine the probability that the five numbers selected are less than e

Algebra.Com
Question 765967: Five numbers are to be selected at random (without replacement) from the 10 digits in the numerical system. Determine the probability that the five numbers selected are less than eight.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The probability that the first number is less than 8 is given by 8 successes diveded by ten possibilities.

Then, given that the first number was less than 8, there are then 7 successes out of 9 possibilities since this is a without replacement experiment.

Then 6 of 8, and so on.

The overall probability is the product of the probabilities:



You can do your own arithmetic. Hint: If you do enough cancelling, you don't have to do ANY multiplying.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism
RELATED QUESTIONS

Please help: Five silver coins and eight gold coins are in a purse. Four coins are to... (answered by rothauserc)
A bag contains seven batteries, all of which are the same size and are equally likely to... (answered by stanbon)
A bag contains five batteries, all of which are the same size and are equally likely to... (answered by Fombitz)
Ten pencils and eight pens are in a box. Eleven writing utensils are to be selected at... (answered by greenestamps)
A box contains 30 balls: 20 are red and 10 are blue. Five balls are selected at random,... (answered by stanbon)
6/ a poll states that 30% of the workers in a large company have new desk, If 4 workers... (answered by jorel1380)
Five balls are selected at random without replacement from an urn containing three white... (answered by scott8148)
Five balls are selected at random without replacement from an urn containing four white... (answered by stanbon)
Each of the digits​ 0-9 is written on a slip of​ paper, and the slips are placed in a (answered by ikleyn)