List the elements of the set. The set of all outcomes of tossing a pair of distinguishable coins or a pair of indistinguishable coins. (a) distinguishable coins {(T, H), (H, T)}{(H, H), (H, T), (T, T)} {(H, H), (T, T)}{(H, H), (H, T), (T, H)}{(H, H), (H, T), (T, H), (T, T)} (b) indistinguishable coins {(H, H), (H, T), (T, H)}{(H, H), (H, T), (T, H), (T, T)} {(T, H), (H, T)}{(H, H), (T, T)}{(H, H), (H, T), (T, T)}

List the elements of the set. The set of all outcomes of tossing a pair of distinguishable coins or a pair of indistinguishable coins. (a) distinguishable coins {(T, H), (H, T)}{(H, H), (H, T), (T, T)} {(H, H), (T, T)}{(H, H), (H, T), (T, H)}{(H, H), (H, T), (T, H), (T, T)} (b) indistinguishable coins {(H, H), (H, T), (T, H)}{(H, H), (H, T), (T, H), (T, T)} {(T, H), (H, T)}{(H, H), (T, T)}{(H, H), (H, T), (T, T)}

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

List the elements of the set.

The set of all outcomes of tossing a pair of distinguishable coins or a pair of indistinguishable coins.

(a)

distinguishable coins

{(T, H), (H, T)}{(H, H), (H, T), (T, T)} {(H, H), (T, T)}{(H, H), (H, T), (T, H)}{(H, H), (H, T), (T, H), (T, T)}

(b)

indistinguishable coins

{(H, H), (H, T), (T, H)}{(H, H), (H, T), (T, H), (T, T)} {(T, H), (H, T)}{(H, H), (T, T)}{(H, H), (H, T), (T, T)}

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