probability
posted by matt .
wooden balls are numbered 175. Five balls are drawn at random. What is the probability of drawing 5 consecutive numbers if no replacement occurs.?
The first ball has a 1/75 chance of being selected. The second ball can be from either above or below the first, so it has a 2/74 chance of being chosen. The same process of selection continues through the fifth ball.
To find the probability that all of these events will occur, you need to multiply the probability of the individual events.
With this information, you should be able to answer your own question.
I hope this helps. Thanks for asking.
I don't think that's right PsyDAG. What if the first ball is #1  there is no number below. Second, what if you picked balls in the following order; 5,3,1,2,4 would this be counted as a "success" as the numbers are, when rearranged, consecutive.
I think this is a combinatorial problem. The number of ways do draw 5 balls from a bag of 75 is 75choose5 or (75!)/((755)!*(5!)) where ! denotes factorial. This translates to (75*74*73*72*71)/(1*2*3*4*5) = 17259390. Now then, there are exactly 70 5consecutiveballs combinations that could be drawn. (1,2,3,4,5), (2,3,4,5,6), ... (71,72,73,74,75). So, the probability is 70/17259390 = something very small
Respond to this Question
Similar Questions

Finite
Bowl one contains 3 black and 2 white balls. Bowl two contains 4 black and 5 white balls. Experiment: A ball is randomly selected from bowl one, its color noted, and it is placed in bowl two. Then a ball is randomly selected from bowl … 
statistics
1. In a large box are 20 pingpong ballsâ€”10 of them are red and numbered 1 through 10, and the other 10 of them are green and also numbered 1 through 10. Two balls are selected from the box without replacement. 1. a.Find the probability … 
Math/Statistics
I don't get how to do this...can anyone help? 
statistics
A box contains 3 white and 5 black balls. Four balls are drawn at random "with replacement" from the box (i.e. selected balls are returned to the box and mixed, before drawing the next ball). Let X be the number of black balls drawn. … 
Math
A bag contains 5red balls and 4 white balls. Two balls are drawn at random from the bag. The first ball drawn is put back into the bag before the second ball is drawn. What is the probability that the two balls drawn are both red? 
College Discrete
An urn contains n > 0 white balls and m > 0 black balls. Consider the experiment where two balls are drawn without replacement. What is the probability that the balls are of the same color? 
Math
A nickel is flipped and a dime is flipped. 1. What is the probability of obtaining exactly one head? 
Probability
A nickel is flipped and a dime is flipped. 1. What is the probability of obtaining exactly one head? 
Statistics
A box contains five numbered balls (1,2,2,3 and 4). We will randomly select two balls from the box (without replacement). (a) The outcome of interest is the number on each of the two balls we select. List the complete sample space … 
STATISTICS
An urn contains 14 white balls and 6 red balls. two balls are to be selected in succession, at random and without replacement what is the probability that i) both balls are white, ii) the first ball in white and the second ball is …