Problem 8: A bridge hand consists of 13 randomly-dealt cards from a standard deck of 52 cards. What is the probability that, in a randomly-dealt bridge hand, there is no card that is a ten or higher? (By ten or higher we mean that a card is either a ten, a jack, a queen, a king, or an ace.)

Problem 8: A bridge hand consists of 13 randomly-dealt cards from a standard deck of 52 cards. What is the probability that, in a randomly-dealt bridge hand, there is no card that is a ten or higher? (By ten or higher we mean that a card is either a ten, a jack, a queen, a king, or an ace.)

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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Question

Please explain, I don't know much about cards and Im having trouble understanding

Problem 8:
A bridge hand consists of 13 randomly-dealt cards from a standard deck of 52 cards.
What is the probability that, in a randomly-dealt bridge hand, there is no card that is a ten or
higher? (By ten or higher we mean that a card is either a ten, a jack, a queen, a king, or an
ace.)

Expert Solution

Step 1

We know that

There are 52 cards in the deck divided into two colour i.e red(26) and black (26). These black cards divided into spade(13) and club (13) and red cards divided into heart(13) and diamond(13). These 13 are further divided into K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2, A. There are 12 face cards, 3 each of suit (Spade,club, heart, diamond) have K,Q,J.

Note: The combination formula is

ⁿC_r = n!/(n-r)!r!

Step by step

Solved in 2 steps

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