1.33 R: Cards are drawn from a standard deck, with replacement, until an ace appears. Simulate...
Consider a standard 52-card deck. Cards are drawn until thự third ace is drawn. After each card is drawn, the card is put back in the deck and cards are reshuffled so that each card drawn is independent of all others. a) Find the probability that the third ace is drawn on the 9th selection. b) Find the probability that at least 10 cards are drawn before the third ace appears.
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).
Three cards are drawn with replacement from a standard deck. What is the probability that the first card will be a spade, the second card will be a black card, and the third card will be an ace? Express your answer as a fraction or a decimal number rounded to four decimal places Answer How to enter your answer Tables Keypad
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?
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 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?
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 cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a diamond for the second card drawn, if the first card, drawn without replacement, was a heart? Express your answer as a fraction or a decimal number rounded to four decimal places.
Two cards are drawn from a regular deck of 52 cards without replacement. What is the probability that the first card is an ace of clubs and the second is black?
Two cards are drawn from a standard deck of cards without replacement. Find the probability for the following: a.) P(selecting a diamond OR a red card) b.) P(selecting a face card OR a card less than 10) c.) P(selecting a black card OR a card that has a number that is a multiple of 3)