Two coins are tossed : (a) if A, is the event that the first coin is a tail and A, is the event that the second coin is a tail and A, is the event that the second coin is a head are A, and A, mutually exclusive ? Obtain P(A, U A,) and P(A, n A,), (b) if further the event A, is that both the coins are heads and A, is that both the coins are tails are A, and A, mutually exclusive ? Are they exhaustive? Obtain P(A, A,).

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.7P
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Two coins are tossed : (a) if A, is the event that the first coin is
a tail and A, is the event that the second coin is a tail and A, is the event that the
second coin is a head are A, and A, mutually exclusive ? Obtain P(A, U A) and
P(A, n A,), (b) if further the event A, is that both the coins are heads and A, is
that both the coins are tails are A, and A, mutually exclusive ? Are they
exhaustive ? Obtain P(A, UA,).
Transcribed Image Text:Two coins are tossed : (a) if A, is the event that the first coin is a tail and A, is the event that the second coin is a tail and A, is the event that the second coin is a head are A, and A, mutually exclusive ? Obtain P(A, U A) and P(A, n A,), (b) if further the event A, is that both the coins are heads and A, is that both the coins are tails are A, and A, mutually exclusive ? Are they exhaustive ? Obtain P(A, UA,).
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