24. A 4-digit number will be made using the digits {1, 2, 4, 5, 7, 8, 9}. a) How many 4-digit numbers are possible if repetition is allowed? b) How many 4-digit numbers are possible if repetition is not allowed? c) How many 4-digit number are possible if repetition is allowed and adjacent digits must differ? d) If repetition of digits is not allowed, what is the probability that the 4-digit number is an even number? e) If repetition of digits is not allowed, what is the probability that the 4-digit number is greater than 8000? f) If repetition of digits is not allowed, how many 4-digit even numbers greater than 8000 are possible?

On a quiz consisting of 3 true/false questions, an unprepared student must guess at each one. The guesses will be random.a) List the different possible solutions (use C for correct and I for incorrect) /2b) What is the probability of guessing all 3 questions correctly? /2c) What is the probability of guessing one question correctly? d) What is the probability of passing the quiz by guessing correctly for at least 2 questions?

4)

Solve step by step please   In a bag there are 12 purple marbles and 8 red ones are drawn at random and left out immediately another marble is drawn a) If the second marble turns out to be purple, what is the probability that the first marble turned out to be red?b) Find the probability that both marbles are the same color.