Here is a table showing all 52 cards in a standard deck. Color Red Red Diamonds A Black Suit Ace Two Three Four Five Six Seven Eight Nine Hearts A Black Spades A Clubs A Ten 10 X Face cards Jack Queen King Suppose a card is drawn at random from a standard deck. The card is then shuffled back into the deck. Then for a sec time a card is drawn at random from the deck. The card is then shuffled back into the deck. Finally, for a third time a drawn at random from the deck. What is the probability of first drawing a black card, then a club, and then a face card? Do not round your intermediate computations. Round your final answer to four decimal places. (If necessary, consult a list of formulas.)

Suppose you want to get a license plate. The license plate has to have 3 letters without repetition, followed by 5 numbers without repetition. How many arrangements are possible? a 78,624,000 b 15,600 471,744,000 d. 30,240

This game is called “Get Negative”.  Roll two dice (record these in the order you roll them), and then do then do the following:  take the first number rolled and subtract 2 times the second number rolled. Regardless of who rolls, Player A gets 3 points if the product is greater than or equal to 0 (i.e. it is zero or positive); Otherwise Player B gets 1 points. The players may or may not take turns rolling the dice as it does not matter who is rolling. Any player may score on any roll, and every roll will result in a score.   Play the game by rolling the dice 25 times. For each turn, keep a record of both dice and the resulting answer and the points scored, according to the rules above. Tally the points and calculate the final score for each player.  Remember, someone gets a point for each turn, depending on the numbers rolled. (One does not have to be rolling to receive the points.)  (Note: you may test the game by yourself by doing all of the 25 rolls yourself and just giving the…

Chandler is a magician performing at a birthday party. Chandler first performs one of 3 card tricks, which is followed by one of 2 coin tricks. How many different magic shows can Chandler perform?