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.
Three cards are randomly selected without replacement from a deck of 52 cards. The deck of...
6. Three cards are randomly selected, without replacement, from a deck of 52 playing cards. Any such 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.
5. (10) A standard deck of cards contains 52 cards. (Round to THREE decimal places as needed.) Compute the probability of randomly selecting a heart or spade if one card is selected from the deck randomly a. Compute the probability of randomly selecting a heart or spade or club if one card is selected from the deck randomly. b. c. Compute randomly. the probability of randomly selecting a two or diamond if one card is selected from the deck d....
Three cards are randomly selected from a fair deck (without replacement). Find the probabilities of the following events by applying the definition of conditional probability: • All hearts, given all cards are red. • All hearts, given one of the cards is a king • All hearts, given no spades. • All hears, given two kings.
A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a ten or three. (b) Compute the probability of randomly selecting a ten or three or four. (c) Compute the probability of randomly selecting a four or spade.
Two cards are drawn without replacement from a standard deck of 52 52 playing cards. What is the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a spade? Express your answer as a fraction or a decimal number rounded to four decimal places.
A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a club or spade. (b) Compute the probability of randomly selecting a club or spade or heart. (c) (a) Compute the probability of randomly selecting a two or club.
Suppose that two cards are randomly selected from a standard 52-card deck (a) What is the probability that the first card is a queen and the second card is a queen if the sampling is done without replacement? (b) What is the probability that the first card is a queen and the second card is a queen if the sampling is done with replacement? (a) If the sampling is done without replacement, the probability that the first card is a queen and the...
1. (25 total points) Probability and card games; Recall that an ordinary decdk of playing cards has 52 cards of which 13 cards are from each of the four suits hearts, diamonds, spades, and clubs. Each suit contains the cards 2 to 10, ace, jack, queen, and king. (a) (10 points) Three cards are randomly selected, without replacement, from an or- dinary deck of 52 playing cards. Compute the conditional probability that the first card selected is a spade, given...
A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a seven or two. (b) Compute the probability of randomly selecting a seven or two or six. (c) Compute the probability of randomly selecting a five or spade.
A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a jack or king. (b) Compute the probability of randomly selecting a jack or king or nine. (c) Compute the probability of randomly selecting a two or spade.