Cards are drawn, one at a time, from a standard deck; each card is replaced before the next one is drawn. Let Y be the number of draws necessary so that ten of the draws result in spades. Find E(Y).
The answer is 40, I'm just wondering how to get it.
here this is negative binomial distribution with parameter p=probability of spade =1/4 and r =number of success =10
therefore expected number of cards to be drawn =r/p =10/(1/4) =40
Cards are drawn, one at a time, from a standard deck; each card is replaced before...
6 This is a bonmus question. You will get extre marks for doing it Draw one card at a time from a standard deck of cards, stopping when you first draw the Queen of Spades. Let X be the number of cards drawn by the time you stop (including the Queen of Spades). Let Y be the number of Clubs drawn by the time you stop. Find the (marginal) distribution of X and the conditional distribution of Y given X....
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...
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.
Four cards are selected, one at a time from a standard deck of 52 cards. Let x represent the number of Jacks drawn in a set of 4 cards. If the cards are not replaced after each draw, explain why x is NOT a binomial random variable. Please show all work
Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a seven and then selecting a jack.The probability of selecting a seven and then selecting a jack is (Round to four decimal places as needed.)
Three cards are drawn off of a well shuffled standard deck of cards. What is the probability the first card is a 5 or 6 or spades?
7. two cards are drawn from a standard deck of 52 cards. show the calculation and mini tree diagram you used. a) if the first card is replaced in the deck after it is drawn, find the probability of drawing a spade after drawing a red card? b) if the first card is removed feom the deck after it is drawn, find the probability of drawing a spade after drawing a red card? c) compare 7(a) to 7(b) and explain...
Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you place the card back in the deck, shuffle the deck, and draw another card. You repeat this process until you have drawn 12 cards in all. What is the probability of drawing at least 5 hearts? For the experiment above, let XX denote the number of hearts that are drawn. For this random variable, find its expected value...
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...
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).