1) You start with a full deck of cards, which have been shuffled. You draw cards from the deck, w...
(12 pts) 3. a Draw 10 cards at random and with replacement from a standard deck of cards. What is the probability that at most 2 of them are face cards? (A face card is a Jack, Queen, or King.) Suppose you deal 10 cards, without replacement, off the top of a well-shuffled deck. What is the probability that they are all hearts? In this problem, assume that the gender of any child that a couple has is equally likely...
Two coins are tossed. Then cards are drawn from a standard deck, with replacement, until the number of “face” cards drawn (a “face” card is a jack, queen, or king) equals the number of heads tossed. Let X = the number of cards drawn. Find E(X).
2. You have drawn a card from a fully shuffled deck of 52 ordinary playing cards. Find the probabilities Clot b a. P(King or Red)- b. P (Heart or Queen) c. P (Below 57not Ace) d. P (Above/ not Face)- Red e. P Face)
2. (10 points) Suppose you are playing blackjack against a dealer. In a freshly shuffled deck, what is the probability that either you or the dealer is dealt a blackjack? (Recall the game of blackjack is played with each player obtaining two cards at random from a regular deck. We say these two cards form a blackjack if one card is an ace and the other card is either a 10, Jack, Queen or King)
2. (10 points) Suppose you...
if you draw two cards from a standard deck of 52 cards without replacement find:a. P(King first, Jack second)b. P( face card first, ace second)c. P(2 aces
Before each draw the deck is well shuffled and a single card
randomly drawn. (Use 4 decimals for all answers)
A. What is the probability that the first card drawn is a face card
(a Jack, a Queen, or a King)?
B. What is the probability that the second card drawn is red?
C. What is the probability that the first card drawn is a face-card
AND the second card drawn is red?
D. What is the probability that the...
you are dealt 2 cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen.
Sarah picks 2 cards from a thoroughly shuffled deck of cards and examines them 1. Which probability formula is needed for this? 2. What is the probability that the first card she picked is a King of Hearts, and the second card she picked is another King? Na of + ON M se . 3 $ NO Pick a card from a deck of cards. What is the probability of picking either a Jack, Queen, King or a diamond suited...
Consider a full deck of 52 playing cards. Suppose we draw 13 cards at random. What is the probability that we draw 1 Ace and 1 King and no Queen or Jack?
Bonus question for 10 extra points Three cards are drawn from a deck of cards in succession without replacement. Find the probability that the first card selected is an ace, the second card is a red jack and the third card is nine, ten, queen or king? (10 pts)