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?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 5CC: a What is meant by an experiment? Sample space? b What is an event? c Define the probability of an...
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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
Transcribed Image Text: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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