In a particular region, car registration plates consist of 4 letters and 2 digits. The first letter of each registration plate must be N. Numbers can be repeated but letters cannot. How many different registration plates can be issued?

Evaluate the expression. \( P(12,6) \) \( P(12,6)=\square \)

(b) What is the probability that in a random sample of 900 adults, more than \( 37 \% \) do not own a credit card? The probability is 0.50 . (Round to four decimal places as needed.)

A single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than 4 the second time. Find the probability of rolling an even number the first time and a number greater than 4 the second time. \( \square \) (Type an integer or a simplified fraction.)

A card is drawn at random from an ordinary deck of cards. Find the probabilities in parts (a)-(d). (a) The card is a diamond. (b) The card is not a diamond. (c) The card is a diamond or a heart. (d) The card is a diamond or a numbered card. (e) What are the odds in favor of drawing a diamond? (a) The probability that the card is a diamond is (Simplify your answer.) (b) The probability that the card is not a diamond is (Simplify your answer.) (c) The probability that the card is a diamond or a heart is \( \square \). (Simplify your answer.) (d) The probability that the card is a diamond or a numbered card is \( \square \). (Simplify your answer.) (e) The odds in favor of drawing a diamond are \( \square \) to \( \square \). (Simplify your answers.)

19. A student at a certain college has \( 60 \% \) chance of passing an examination at the first attempt. Each time a student fails and repeats the examination; his chances of passing are increased by \( 15 \% \). Calculate the probability that a student in the college passes an examination at the second or at the third attempt. [3008 marks)