e. A student is choosing a four-digit password to use for her bank accour How many passwords are possible if digits may not be repeated? There are five tiles in a bag, labeled W, O, R, D, and S. A tile is chosen at random and then another tile is chosen at random. Determine whether the following events are independent or dependent. (Ex 4 . Choose W and then choose S, if the first tile is replaced before the second tile is chosen.

A jar contains 6 red marbles numbered 1 to 6 and 8 blue marbles numbered 1 to 8 . A marble is drawn at random from the jar. Find the probability of the given event. (a) The marble is red Your answer is: (b) The marble is odd-numbered Your answer is: (c) The marble is red or odd-numbered Your answer is: (d) The marble is blue and even-numbered Your answer is:

Round your answer to 4 decimal places, if necessary. What is the probability of pulling out: a) a face card? \( P( \) face \( )= \) b) a diamond or a spade? \( P \) (diamond or spade) \( =\square \) c) a 3 or a 9 ? \( P(3 \) or 9\( )= \) d) an ace or a heart? \( P( \) ace or heart \( )=\square \) e) a face card or a spade? \( P( \) face or spade \( )= \) f) a 7 or a red card? \( P(7 \) or red \( )=\square \)

As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). If you select a card at random, what is the probability of getting: 1) A(n) 9 of Spade s? 2) A Spade or Heart? 3) A number smaller than 9 (counting the ace as a 1)?

If \( f(x)=k(1-x) \quad 0<x+1 \) Find \( P(x>0.25) \)

A card is drawn randomly from a standard 52-card deck. Find the probability of the given event. (a) The card drawn is 5 The probability is : \( \frac{1}{53} \) (b) The card drawn is a face card (Jack, Queen, or King) The probability is : (c) The card drawn is not a face card. The probability is: