You draw 5 cards from a standard deck of 52 cards. If X is a random variable that represents the number of hearts you get, calculate the following: The probability of 3 or more hearts The expected number of hearts. Describe what this number means.
You draw 5 cards from a standard deck of 52 cards. If X is a random...
(1 point) Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace the card, and draw another card. You repeat this process until you have drawn 15 cards in all. What is the probability of drawing at least 5 diamonds? For the experiment above, let X denote the number of diamonds that are drawn. For this random variable, find its expected value and standard deviation E(X)=( o=
We draw 5 cards randomly, and without replacement, from a standard 52-card deck. Find the probability that we get (a) three cards of one suit and two of another (b) at least three hearts
1. We draw 5 cards randomly, and without replacement, from a standard 52-card deck. Find the probability that we get (a) three cards of one suit and two of another (b) at least three hearts
two different cards are chosen at random from a standard deck of 52 cards find the probability that both cars are hearts given that both cards are the same color
round probabilities to four decimal places. You draw one card from a deck of 52 cards. If you get a heart, you win $18. If you get anything else you pay $5. Note: There are 13 hearts in the deck. a. What is the probability of winning the game? b. What is the expected value of the game? c. If you play the game 100 times, what is your expected gain or loss?
3. You draw a card from a standard deck of 52 cards. Answer the following questions using a percentage. a) What is the probability you get a Diamond and a Black? b) What is the probability you get a Black or a Red?
(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...
3. Cards: I take a standard deck of 52 cards, consisting of 13 spades, 13 hearts, 13 diamonds, and 13 clubs. I am g in seeing how many non-heart cards I can draw before picking a heart. After each draw, I will put the card back in the deck, so there is a 1/4 chance I get a heart with each draw, and a 3/4 chance I do not get a heart. I think about this a te bit and...
3. Cards: I take a standard deck of 52 cards, consisting of 13 spades, 13 hearts, 13 diamonds, and 13 clubs. I am interesting in seeing how many non-heart cards I can draw before picking a heart. After each draw, I will put the card back in the deck, so there is a 1/4 chance I get a heart with each draw, and a 3/4 chance I do not get a heart. I think about this a little bit and...
3. Cards: I take a standard deck of 52 cards, consisting of 13 spades, 13 hearts, 13 diamonds, and 13 clubs. I am interesting in seeing how many non-heart cards I can draw before picking a heart. After each draw, I will put the card back in the deck, so there is a 1/4 chance I get a heart with each draw, and a 3/4 chance I do not get a heart. I think about this a ittle bi and...