The code consists of four digits. For the code to be valid, the first two digits must be even and the last two digits must be odd. What is the probability that a randomly chosen valid code has at least one pair of adjacent digits that are the same?

A hacker is trying to guess someone's password.The hacker knows that the password is 4 digits long,and that each digit could be a number between 0 and 3.Assume that the hacker makes random guesses.What is the probability that the hacker guesses the password right on her first try?

The digits 2, 3, 4, 5, 6, 7, and 8 are randomly arranged to form a​ three-digit number. ​ (Digits are not​ repeated.) Find the probability that the number is even and greater than 800.

An integrated circuit contains 9.5x10 logic gates; each gate can be a logical AND or OR circuit. Assume the probability of a gate failure is p and that the failures are independent. If any gate in the circuit fails, the entire circuit will fail. What should be the value of p so that the probability that the integrated circuit functions is 0.95? 5.

Two cards are drawn at random and replaced after each draw. Given that the first card was a Jack of Hearts, find the probability that the second card was a diamond.

In a lottery, the top cash prize was $659 million, going to three lucky winners. Players pick five different numbers from 1 to 57 and one number from 1 to 42. A player wins a minimum award of $450 by correctly matching three numbers drawn from the white balls (1 through 57) and matching the number on the gold ball (1 through 42) What is the probability of winning the minimum award? The probability of winning the minimum award is (Type an integer or a simplified fraction.)