A six-digit number is formed from the digits one through seven. No digit appears more than...
A six-digit number is formed from the digits one through seven. No digit appears more than once in each number. Find the probability that the number will be: a. Even b. Odd c. Prime d. Composite
2) (5pts) A 3-digit number will be formed using the digits 1, 2, 3, 4, 5; using each digit only once. a) How many possible 3-digit numbers are possible? TOTAL: b) Assume three of the digits are randomly chosen and randomly permuted in order to form the 3-digit number. Then each of the possible 3-digit numbers in part a) are equally likely. Find the probability that the 3-digit number ends up being an even number greater than or equal to...
t number will be formed using the digits 1,2, 3,4, 5; using each digit only once How many possible 3-digit numbers are possible? a) TOTAL: three of the digits are randomly chosen and randomly permuted in b) Assume order to form the 3-digit number. Then each of the possible 3-digit numbers in part a) are equally likely. Find the probability that the 3-digit number ends up being an even number greater than or equal to 400? Hint: Partition the event...
1. (a) (i) How many different six-digit natural numbers may be formed from the digits 2, 3, 4, 5, 7 and 9 if digits may not be repeated? (ii) How many of the numbers so formed are even? (iii) How many of the numbers formed are divisible by 3? (iv) How many of the numbers formed are less than 700,000? (b) JACK MURPHY’s seven character password consists of four let- ters chosen from the ten letters in his name (all...
PLEASE HELP WITH 2 AND 3!! THANK YOU:) 2. How many 4-digit numbers can be formed from the digits 2,3,4,5,6,7,8 if: i) Each digit may be used only once in each number? ii) Each digit may be used repeatedly in each number? 3. A bag contains five red balls numbered 1,2,3,4,5 and nine green balls numbered 6,7,8,9,10,11,12,13,14. If a ball is drawn at random what is the probability that: i) The ball is red and odd-numbered. ii) The ball is...
How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, and 7 if each digit can be used only once, how many are greater than 330
Consider the number 35964 How many 3 digit numbers can be formed using digits from 35964 if no digits may be repeated? What is the sum on all of those 3 digit numbers?
3 digits are drawn independently and at random to obtain a 3-digit number. Each of the 3 digits can take integer values 1 through 9, with each integer being equally likely to be chosen. In other words, the 3-digit number can be from 111 through 999, but any 3-digit number that contains 0 is impossible. A. What is the chance that the 3-digit number is even? B. What is the chance that the 3-digit number has at least one digit...
Selec 3 digits from 0,1,2,...,5 to make a number. Each digit can be used once and the number cannot start from 0. How many possible numbers are there which are greater than 240?
6. The digits 1,2,3,4 and 5 are randomly arranged to form a three-digit number. If digits are not repeated, find the probability that the number is even and greater than 500? 7. A coin is tossed 10 times. Find the probability that at least one toss results in a tail. 8. A game is played using one die. If the die is rolled and shows 1,2 or 3, the player wins nothing. If the die shows 4 or 5, the...