A thief steals an ATM card and must randomly guess the correct five-digit pin code from a 6-key keypad. Repetition of digits is allowed.The number of possible codes is (Type an integer or fraction. Simplify your answer.)The probability that the correct code is given on the first try is (Type an integer or fraction. Simplify your answer.)

When a customer using an ATM (cash machine) enters their PIN number incorrectly three times, the card is not returned to the customer. This security procedure can be written into the software by a programmer using selection and iteration.Explain how selection and iteration are used in the ATM system described.[4]

While visiting her grandparents, Lucy found a box with a surprising number of spare keys. Lucy figured that the color of the sticker on each key must indicate what the key was for. When Lucy tested the keys, she was surprised to find that this was not the case.Blue sticker Green stickerFront door of the house 5 2Back door of the house 5 3Car 2 8What is the probability that a randomly selected key opens the car given that the key is labeled with a blue sticker?Simplify any fractions.

A hacker has a 1% chance of guessing a password correctly on the first try. If the password is not guessed correctly, the probability drops to 0.1% for the second try. What is the probability the hacker will guess the password within two tries?

A numerical lock can be opened using any possible combination of these five digits 0, 1, 0, 3 and 2 (example 20031). John used all possible incorrect combinations on the 5-digit lock before finally opening the lock at the next attempt. How many total attempts did he make? The digits available are 0-5 in lock ​

There are 49 cards in a box numbered from 1 to 49. Every card is numbered with only 1 number. The probability of picking up a card, the number printed on which is a multiple of 5 but not that of 10 or 15 is _____.