A player is randomly dealt a sequence of 13 cards from a standard 52-card deck. Allsequences of 13 cards are equally likely. In an equivalent model, the cards are chosen anddealt one at a time. When choosing a card, the dealer is equally likely to pick any of thecards that remain in the deck.(a) What is the probability the 13th card dealt is a King?(b) Find the probability of the event that the 13th card dealt is the first King dealt.

a) The probability that the 13th card dealt is a King is the same as the probability that any…

Answered: player is randomly dealt a sequence of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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[3] Pick a card, any card. Suppose you pick the 5 of Hearts. If the 5 of Hearts is not returned to the deck, what is the probability of drawing: A. either another 5 or another Heart with the next card? four more Hearts with the next 4 cards drawn? B.
Consider the following game: A player rolls two dice. If he rolls 7 or less then he loses the game. Otherwise, he selects at random as many cards from the full deck as the sum of the numbers that came up on the dice. The player wins if all four Aces are among the selected cards. (a) What is the winning probability for this game? (b) Someone tells that he played this game once and won. What is the probability that he rolled a sum of 10?
You play a game of chance. You draw a card from a 52-card deck. You continue to draw until you have drawn a king (you win), or till you have drawn five cards (you lose if no kings among those 5 cards). Draw a trec diagram that illustrates the expcriment. Put the appropriate probabilities on the tree. Find the probability that you win before the fourth draw.
The digits 2, 3, 4, 5, 6, 7, and 8 are randomly arranged to form a three-digit number. (Digits are not repeated.) Find the probability that the number is even and greater than 800.
A bag contains 8 red, 3 blue and 13 yellow discs. A disc is selected at random from the bag. What is the probability that the disc selected is: (i) red (ii) blue (iii) yellow (iv) not yellow?
A coin is tossed five times. What is the probability that the outcome is five heads, given that exactly four of the coins show heads? The probability of getting five heads is.
In a horse race, a particular bet is won if you selected the three horses that finish first, second, and third, and they can be selected in any order. A certain horse race had a field of 18 horses. What is the probability of winning this bet if you randomly select the horses? The possibility of winning this bet when randomly selecting the horses is (Round to five decimal places as needed.)
A family has a day of eight activities planned:shopping, picnic, hiking, video games, movie, dog park, restaurant, and car wash. To make it more adventurous, they decide to randomly pick the order of the activities out of a hat. Find the probability that video games and restaurant are chosen consecutively, in either order.
The probability that a child will like a new flavor of ice cream is 0.72. In a group of nine children find the probability that at least 7 children like the new flavor.
Four cards are drawn from an ordinary deck of 52 cards. Find the probability that (a) all cards are aces, (b) at least 2 kings are drawn.

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