What is P(A), the probability that the first flip is heads? What is P(B), the probability that the second flip is tails? What is P(A and B), the probability that the fırst flip is heads and the second flip is tails? Are events A and B independent?

What is P(A), the probability that the first flip is heads? What is P(B), the probability that the second flip is tails? What is P(A and B), the probability that the fırst flip is heads and the second flip is tails? Are events A and B independent?

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

Answer correctly deals with dependent and independent events.

Kyle and Julie are playing a game where they flip a fair coin four times and try to predict the outcomes.
Using the sample space of possible outcomes listed below, answer each of the following questions.
What is P(A), the probability that the first flip is heads?
What is P(B), the probability that the second flip is tails?
What is P(A and B), the probability that the first flip is heads and the second flip is tails?
Are events A and B independent?
Choose 1 answer:
Yes, events A and B are independent events.
No, events A and B are not independent events.
ННН
НННТ
TΤΗT
HTTH
THHH
TTTT
TTTH
TTHH
HTHH
HTTT
HHTT
ΤΗΤΗ
HHTH
THTT
HΤHT
THHT

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