Question

A) A poker hand consists of five cards randomly dealt from a standard deck of 52 cards. The order of the cards does not matter. Determine the following probabilities for a 5-card poker hand. Write your answers in percent form, rounded to 4 decimal places. Determine the probability that exactly 3 of these cards are Aces. Answer: % Determine the probability that all five of these cards are Spades. Answer: % Determine the probability that exactly 3 of these cards are face cards. Answer: % Determine the probability of selecting exactly 2 Aces and exactly 2 Kings Answer: % Determine the probability of selecting exactly 1 Jack. Answer: %

B) Lacy draws a diamond from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card and gets a heart. Are these events independent? Input Yes or No: Determine the probability of drawing a diamond and then a heart without replacement. Write your answer in decimal form, rounded to four decimal places as needed. Answer = Linda draws a diamond from a standard deck of 52 cards. She returns the diamond to the deck, then draws a second card. Her second card is a heart. Are these events independent? Input Yes or No: Determine the probability of drawing a diamond and then a heart with replacement. Write your answer in decimal form, rounded to four decimal places as needed.

C)A 3-digit PIN number is selected. What it the probability that there are no repeated digits? The probability that no numbers are repeated is . Write your answer in decimal form, rounded to the nearest thousandth.

D)In a lottery daily game, a player picks four numbers from 0 to 9 (without repetition). How many different choices does the player have 1) If order matters? 2) If order does not matter?

Answer 1

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