Problema Solution

A four-digit number is formed from the digits 1,2,3,4,5, and 6. Assume that the digits cannot be repeated, what is the probability that the number is:

a. even

b. greater than 3000

c. even or greater than 3000

Answer provided by our tutors

a. prob. that a number is even is 1/2=0.5 {because last digit has three odd no. choice and three even no. choice}

b. prob. that no. is greater than 3000 is 1/3 { because 1st digit has 4 choice out of 6}

c. prob. that no. is even or greater than 3000 is (1/3 + 1/2 - 1/6) = 2/3