finite math
posted by allen .
suppose that 3 digits are selected at random from the set S={1,2,3,4,5,6} and are arranged in random order. Find the probability that the resulting 3digit number is less than 300.

finite math 
Reiny
Can digits be repeated?
I will assume they CANNOT
number of possible 3 digit numbers
= 6*5*4 = 120
to be less than 300, the number must start with either a 1 or a 2
number of such cases = 2*5*4 = 40
prob of event = 40/120 = 1/3
Respond to this Question
Similar Questions

stats please help test tom
When a computerized generator is used to generate random digits, the proability that any particular digit in the set {0,1,2, . . .,9} is generated on any individual trial is 1/100.1. suppose that we are generating digits one at a … 
Finite Math
Assume that 3 digits are selected at random from the set {1,3,5,6,7,9} and are arranged in random order. What is the probability that the resulting 3digit number is less than 700? 
math
Assume that 3 digits are selected at random from the set { 2, 5, 6, 8, 9 } and are arranged in random order. What is the probability that the resulting 3digit number is less than 900? 
probability
please help! 1.) A random digit from 1 to 9 (inclusive) is chosen, with all digits being equally likely. The probability that when it's squared it will end with the digit 1. 2.) A random number between 1 and 20 (inclusive) is chosen. … 
math
please help! 1.) A random digit from 1 to 9 (inclusive) is chosen, with all digits being equally likely. The probability that when it's squared it will end with the digit 1. 2.) A random number between 1 and 20 (inclusive) is chosen. … 
probability
The digits 2, 3, 4, 7, and 8 are each used once in a random order to form a fivedigit number. What is the probability that the resulting number is divisible by 4? 
does anyone know probability????
The digits 2, 3, 4, 7, and 8 are each used once in a random order to form a fivedigit number. What is the probability that the resulting number is divisible by 4? 
Probability please help!
The digits 2, 3, 4, 7, and 8 are each used once in a random order to form a fivedigit number. What is the probability that the resulting number is divisible by 4? 
Math
In a table of random digits, each digit is to occur with a probability of 0.1. a) A student examines a list of 200 random digits and counts only eleven 4’s and thus claims that the table is not really random. Explain the error in … 
Math
A 3digit positive integer is selected at random. Find the probability that A) The last two digits of the number is 22 B) The number is greater than 900 C) The number is less than 100 D) The number contains at least one digit 8