Suppose we pick cards from a deck randomly, with replacement and reshuffling, until an ace comes up. Let X represent the number of cards we picked. Calculate: (a) E[X] (b) Var[X] (c) I offer you $13^n if the number of cards picked is equal to n. What is the expected value of how much I will pay you?
Suppose we pick cards from a deck randomly, with replacement and reshuffling, until an ace comes...
1.33 R: Cards are drawn from a standard deck, with replacement, until an ace appears. Simulate the mean and variance of the number of cards required. 10
You have to keep drawing cards from a deck of cards(with replacement) until you have drawn both a 1 and a 13. What is the expected number of times you would have to draw cards until you can stop a 6.5 b 18 c 19.5 d 26
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).
1) You start with a full deck of cards, which have been shuffled. You draw cards from the deck, with out replacement, until you get a card other than an ace. What is the expected value of the number of cards drawn? 2) What is the expected number of face cards (jack, queen, or king) in a three card hand drawn at random from a standard deck of cards? 1) You start with a full deck of cards, which have...
Suppose we randomly select 5 cards without replacement from an ordinary deck of playing cards. What is the probability of getting exactly 2 red cards (fi.e, hearts or diamonds)? Select one: O C O a. 0.22640 b, 0.32513 e. 0.29235 d.0.44259 e.0.19277
Suppose we randomly select 5 cards without replacement from an ordinary deck of playing cards. What is the probability of getting exactly 2 red cards (fi.e, hearts or diamonds)? Select one: O C O a. 0.22640 b, 0.32513 e. 0.29235 d.0.44259 e.0.19277
Three cards are randomly selected without replacement from a deck of 52 cards. The deck of cards contains exactly 13 spades. Compute the conditional probability that the first card selected is a spade, given that the second and third cards are spades.
You draw cards from a standard 52-card deck until you draw the ace of spades. What is the expected number of cards you draw, if... (a) ...you do not replace the drawn cards? (b) ...after each failed draw, you replace the card and reshuffle the deck?
You pick cards one at a time without replacement from an ordinary deck of 52 playing cards. What is the minimum number of cards you must pick in order to guarantee that you get three of a kind, and three Kings **Show all work**
2. Consider a standard 52 card deck of playing cards. In total there are four cards that are Aces, four cards that are Kings, four cards that are Queens and four cards that are Jacks. The remaining 36 cards are four each of the numbers 2, 310. That is there are four cards that are twos, four cards that are threes etc. For this question, suppose that we reduce the number of cards in the deck by removing one of...